What are the solutions to the equation -1/4 x^2+5x+24=0 ?

The solutions to the equation -1/4 x^2+5x+24=0 are x=-4,x=24

Find the zeros of -1/4 x^2+5x+24=0

The zeros of -1/4 x^2+5x+24=0 are x=-4,x=24

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- \frac{1}{4} x^{2} + 5 x + 24 = 0

x = - 4, x = 24

Solution steps

- \frac{1}{4} x^{2} + 5 x + 24 = 0

Multiply both sides by

4

- x^{2} + 20 x + 96 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 1 ) \cdot 96}{2 ( - 1 )}

2 0^{2} - 4 (- 1) \cdot 96 = 28

x_{1, 2} = \frac{- 20 \pm 28}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 20 + 28}{2 ( - 1 )}, x_{2} = \frac{- 20 - 28}{2 ( - 1 )}

x = \frac{- 20 + 28}{2 ( - 1 )} : - 4

x = \frac{- 20 - 28}{2 ( - 1 )} : 24

The solutions to the quadratic equation are:

x = - 4, x = 24

x, 2 x^{2} + x^{2} y - 2 x y - 4 x - 15 y - 30 = 0

5 x^{2} - 7 = - 22

x^{2} - 15 + 56 = 0

5 y^{2} - 6 y - 3 = 0

a^{2} - 5 a + 2 = 0

What are the solutions to the equation -1/4 x^2+5x+24=0 ?
The solutions to the equation -1/4 x^2+5x+24=0 are x=-4,x=24
Find the zeros of -1/4 x^2+5x+24=0
The zeros of -1/4 x^2+5x+24=0 are x=-4,x=24