Answered

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2. If two roots of the equation y + a y? + b y + c = 0 (with a, b, and c integers) are 1
and 2 - 8i, then the value of a is
A. 2 + 8i
B. -5
C. 5
D. 4 + 8i
E. 4 - 8i
I

Sagot :

raphealnwobi

The value of a in y³ - 5y² + 72y - 68 = 0 is -5

Quadratic equation

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

Find out more on Quadratic equation at: https://brainly.com/question/1214333

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