If (8 - 10x) - (13x - 2) = - 9, then the value of x is

When a = 5/4, the value of 64 a3 – 144 a2 + 192 a – 317 is

If, [x2 + (1/x2)] = 51 ,then [x – (1/x)] is equal to

If x = (√5 + 1)/(√5 - 1) and y = (√5 - 1)/(√5 + 1), then find the value of x2 - y2.

Find the value of k, if (x - 1) is a factor of 4x3 + 3x2 – 4x + k.

If a + b + c = 12 (where a, b, c are real numbers), then the minimum value of a2 + b2 + c2 is:

The sum of three consecutive number is 126. Find the highest number?

If \(\frac{{m + \sqrt {{m^2} - 1} }}{{m - \sqrt {{m^2} - 1} }} + \frac{{m - \sqrt {{m^2} - 1} }}{{m + \sqrt {{m^2} - 1} }} = 14\), then find the value of m.

If 3x - 8(2 - x) = - 19, then the value of x is

A number is 25 more than its two-fifth. What is the number?

If (x11 + 1) is divided by (x + 1), the remainder is:

What is the value of (A + B)3 – (A – B)3 – 6B(A2 – B2) if A = 125 and B = 8?

If xy = - 18 and x2 + y2 = 85, then find the value of (x + y).

The product of two numbers is 8 times the difference of these two numbers. If the sum of these numbers is 12, then the larger number is?

If (9 - 3x) - (17x - 10) = - 1, then the value of x is

Ram went to a market and bought one copy of a Mathematics book and two pencils for Rs.65. Rahim went to the same market and bought another copy of the same book and ten pencils of the same brand for Rs.69. The price of each pencil was

Given (a + b + c) = 8, (a + b) = 4, what is the value of c × (c + 2b + 2a)?

Find the factors of (x2 – x – 132)?

If x = 3/2, then the value of 27x3 – 54x2 + 36x – 11 is

Which of the following is a factor of the polynomial (4x3 – 2x2 – 5x + 1)?

If x is real, the minimum value of 4x2 + 4x + 9 is

If x2 + 5x – 6k, is exactly divisible by (x – 3), then the value of k is

An 800 car parking lot is divided into 3 sections. There are 300 lots in section 1 and 150 more in section 2 than in section 3. How many lots are there in section 2?

The bowling average of a cricketer was 13. He improves his bowling average by 2 points when he takes 6 wickets for 30 runs in his last match. The number of wickets taken by him before the last match was

If \(x + \frac{a}{x} = b\), then the value of \(\frac{{{x^2} + bx + a}}{{b{x^2} - {x^3}}}\) is

If x + y = √3 and x - y = √2, then the value of 8xy (x2 + y2) is

If x + y + z = 3 and x2 + y2 + z2 = 9, then the value of x3 + y3 + z3 – 3 xyz is?

If \(x\; = \frac{1}{{\sqrt 2 \; + 1}}\) then ( x + 1) equals to

If \(x = \sqrt {6\; + \sqrt {6\; + \sqrt {6\; + \; \ldots } } }\) then x is equal to

If x = 11, then the value of x5 – 12x4 + 12x3 – 12x2 + 12x – 1 is