The roots of the quadratic equation ax^2−16x+25 are 2+mi and 2−mi, where m>0. Compute the sum of a+m.

s2vunov

s2vunov

Answered question

2022-09-07

The roots of the quadratic equation a x 2 16 x + 25 and 2 m i, where m > 0. Compute the sum of a + m

Answer & Explanation

lascosasdeali3v

lascosasdeali3v

Beginner2022-09-08Added 10 answers

The roots are given by the quadratic formula:
x = 16 ± 16 2 4 25 a 2 a
We know that the real part of the roots will be 2, so 16 2 a = 2, and a = 4. So we can plug that back into the quadratic formula.
x = 16 ± 16 2 4 25 4 2 4
and solve for your roots.

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