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Answered on 23/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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

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13, 15.
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Answered on 30/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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 02/12/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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

Jeet Mishra

7 years of experience in teaching

{-1+i(root3)}/4 and {-1-i(root3)}/4.
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Answered on 29/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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 24/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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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Answered on 22/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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

Proper Understanding and Constant Practice will make you Pro

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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Answered on 29/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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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Answered on 23/11/2016 Learn Quadratic Equations +2 Mathematics Class IX-X Tuition

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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