. If x = 2/3 and x = -3 are roots of the quadratic equation ax² + 7x + b = 0 find the value of a and b.
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. If x = 2/3 and x = -3 are roots of the quadratic equation ax² + 7x + b = 0 find the value of a and b.
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Answer
A = 3 and B = -6
Solution
The equation given = ax^2 + 7x + b = 0
Roots are given x1 = 2/3 and x2 = -3
sum of the roots = x1 + x2 = -b / a
=> 2 / 3 - 3 = -7 / a
=> -7 / 3 = -7 / a
=> a = 3
products of roots = c / a
=> 2 / 3 x (-3) = b / a
=> -2 = b / 3
=> b = -6
therefore, a = 3 and b = -6