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Answered on 23/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

Ankit Agarwal

Quest for education

13, 15.

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Answers 5 Comments Answered on 30/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

Check whether the following equation is quadratic or not: square of x - 6 x - 4 = 0?

Tapas Bhattacharya

Tutor

This is a quadratic equation as highest power of x is 2.

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Answers 1 Comments Answered on 30/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

Using factorization, find the roots of the quadratic equation: 9(square of x) - 16 = 0?

Tapas Bhattacharya

Tutor

9x^2 - 16=0 => (3x)^2 = 4^2 =0 => (3x + 4)(3x - 4)=0 so, 3x=4 --> x=4/3 or, 3x=-4 --> x = -4/3 Answer: x = 4/3 or -4/3.

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Answers 1 Comments Answered on 02/12/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

Solve: 4(square of x) + 2x + 1 = 0?

Jeet Mishra

{-1+i(root3)}/4 and {-1-i(root3)}/4.

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Answers 1 Comments Answered on 29/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

Determine the value of p for which the given quadratic equation has real roots: p(square of x) + 4x + 1 = 0?

Tapas Bhattacharya

Tutor

The equation: px^2 + 4x + 1=0. The roots are real if the discriminant is zero or positive. So, 4^2 - 4p >= 0 (>= means greater than or equal to). => p is smaller than or equal to 4. Answer: p must be equal to 4 or smaller.

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Answers 1 Comments Answered on 24/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

The sum of a number and its reciprocal is 10/3, find the number?

Mamta Mund

Maths Tutor, Certified Vedic Maths Teacher

Let the number be a a+(1/a)= 10/3 => a^2+1)/a = 10/3 => 3a^2+3-10a=0 => 3a^2-10a+3=0 => 3a^2-9a-a+3=0 => 3a(a-3)-1(a-3)=0 => (3a-1)(a-3)=0 => a= 3 and a = 1/3

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Answers 1 Comments Answered on 23/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

A two digit number is such that the product of its digits is 12. When 36 is added to this number, the... read more

A two digit number is such that the product of its digits is 12. When 36 is added to this number, the digits interchange their places. Find the number? read less

Sarvajeet Kumar

An Experienced Trainer

36.

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Answers 1 Comments Answered on 22/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

There are three consecutive positive integers such that the sum of the square of the first and the product... read more

There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154. What are the integers? read less

Shikha Yadav

Tutor

Let first three consecutive numbers are x, x+1, x+2 . According to the question, x2+(x+1)(x+2)=154. Final answer is x=8. Hence numbers are 8,9,10.

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Answers 2 Comments Answered on 29/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest... read more

The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest side. If the third side is 7 meters more than the shortest side, find the sides of the grassy land? read less

Tapas Bhattacharya

Tutor

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition: (2x +1)^2 = x^2 + (x + 7)^2.

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Answers 2 Comments Answered on 23/11/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Quadratic Equations

The difference of the squares of two numbers is 45. The squares of the smaller number is 4 times the... read more

The difference of the squares of two numbers is 45. The squares of the smaller number is 4 times the larger number. Determine the numbers? read less

Sarvajeet Kumar

An Experienced Trainer

6, 9.

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