Question

What is the sum of the two solutions to the equation $54-15x-x^2=0$?

Answer 1

Explanation:

- x^2 -15x + 54 = 0

x^2 + 15x - 54 = 0

the two solutions will add up to - b/a = - 15

Or you can factor it

( -x^2 -15x+54) = 0

(x+18)(-x+3) = 0 shows x = -18 or 3 sum = - 15

Answer 2

• - 15

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Given quadratic equation:

• 54 - 15x - x² = 0

Write it in standard form of ax² + bx + c = 0:

• x² + 15x - 54 = 0

According to Vieta's theorem, sum of the two roots is - b/a, that is:

• x₁ + x₂ = - 15/1 = - 15