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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 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:...

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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 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...

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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, 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 =>...

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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

An Experienced Trainer

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

Tutor

Let first three consecutive numbers are x, x+1, x+2 . According to the question, x2+(x+1)(x+2)=154. Final...

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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...

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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

An Experienced Trainer

6, 9.

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