The value of a in y³ - 5y² + 72y - 68 = 0 is -5
A quadratic equation is in the form:
ax² + bx + c = 0
where a, b, c are constants integers.
Given the roots of the equation as 1 and 2 - 8i, hence the third root is 2 + 8i. Complex roots are in conjugate pairs, hence:
y = 1 or y = 2 - 8i or y = 2 + 8i
(y - 1) = 0; y - 2 + 8i = 0 and y - 2 - 8i = 0
(y - 1)(y - 2 + 8i)(y - 2-8i) = 0
y³ - 5y² + 72y - 68 = 0
The value of a in y³ - 5y² + 72y - 68 = 0 is -5
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