Quadratic Equation [1]
If and are roots of quadratic equation , what is the value of ?
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1 solution
If a and b are roots of 2 x 2 + 3 x − 3 = 0 , by Vieta's formula we have a b = − 2 3 , and 2 a 2 + 3 a − 3 = 0 or 2 a 2 + 3 a = 3 . Then 4 a 2 b + 6 a 2 b = 2 a b ( 2 a 2 + 3 a ) = 2 ( − 2 3 ) ( 3 ) = − 9 .