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Algebra || 06.04.2021

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Question 1

If x2 + 1 = 3x, then the value of  is:

Question 2

The simplified form of (x + 3)2 + (x - 1)2 is:

Question 3

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?

Question 4

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

Question 5

If x2 – 4x + 1 = 0; then the value of   is: 

Question 6

If the equation (3x)2 + (27×31/k – 15)x + 4 = 0 has equal roots, then k = ?

Question 7

If a, b, c are three non-zero real numbers, such that a + b + c = 0, and b2ca, then the value of  is

Question 8

If then the value of is:

Question 9

If ,then x is equal to

Question 10

Find the value of the function f(x) = [g(x)]2 + g(x) at x = −1, given g(x) = 2x+1
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