Quadratic Equations Questions and Lessons

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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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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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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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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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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...

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

One side of a rectangle exceeds its other side by 2 cm. If its area is 195 sq. cm, determine the sides of the rectangle?

Ankit Agarwal

Quest for education

13, 15.

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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

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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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...

Sarvajeet Kumar

Tutor

6, 9.

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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...

Sarvajeet Kumar

Tutor

36.

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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...

Shikha Yadav

Learn and Undersatand even the tougest topic with ease

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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