Question

Find the sum of the solutions of this equation

Answer 1

39/20

Explanation:

find the solutions:

`20x^2-39x-80=0`

`ax^2+bx+c=0`

quadratic equation --> -b±
`\sqrt{(b^2-4ac)/(2a) }`

plug in variables --> (39±
`\sqrt{(-39)^2-(4)(20)(-80)`)/(2*20)

solution 1 = -5/4

solution 2 = 16/5

-5/4+16/5 = -25/20+64/20 = 39/20

Answer 2

• D) 39/20

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According to Vieta's formula for quadratic equations:

• If f(x) = ax2 + bx + c is a quadratic equation with roots α and β then, sum of roots = α + β = -b/a.

In the given equation, we have coefficients:

• a = 20,
• b = - 39.

Sum of the solutions would be:

• - (-39)/20 =
• 39/20

This is matching the last option.