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Answer:
Q1. In each of the following, determine whether the given values are solution of the given equation or not:
x2 – 3√3 x + 6 =0, x = √3 , x = 2√3
a2 x2 – 3ab x + 2b2 = 0 , x = a/b, x = b/a
x +1x = 136 , x = 5/6, x = 4/3
Q2. In each of the following, find the value of k for which the given value is a solution of the given equation:
7x2 + kx -3 =0, x = 2/3
x2 + x(a+b) +k =0, x= a
kx2 + √2 x - 4 =0, x = √2
Q3. If x = 2/3 and x= -3 are the roots of the equation ax2 + 7x + b =0, find the value of a and b.
Q4. Solve the following quadratic equations by factorisation method:
4x – 3 = 52x+3 , x ≠ 0, -3/2
X2 + 2 √2 x – 6 =0
4 x2 – 4ax + (a2 –b2) =0
9 x2 – 9 (a + b) x + (2a2 + 5ab + 2 b2) = 0
1a+b+x = 1x + 1a + 1b a+b ≠ 0
4 √3 x2 + 5x - 2√3 =0
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