What are the solutions to the equation -24=8x-4x^2 ?

The solutions to the equation -24=8x-4x^2 are x=1-sqrt(7),x=1+sqrt(7)

Find the zeros of -24=8x-4x^2

The zeros of -24=8x-4x^2 are x=1-sqrt(7),x=1+sqrt(7)

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Popular >

- 24 = 8 x - 4 x^{2}

x = 1 - 7, x = 1 + 7

Decimal

x = - 1.64575 \dots, x = 3.64575 \dots

Solution steps

- 24 = 8 x - 4 x^{2}

Switch sides

8 x - 4 x^{2} = - 24

Move

24

to the left side

8 x - 4 x^{2} + 24 = 0

Write in the standard form

a x^{2} + b x + c = 0

- 4 x^{2} + 8 x + 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 4 ) \cdot 24}{2 ( - 4 )}

8^{2} - 4 (- 4) \cdot 24 = 87

x_{1, 2} = \frac{- 8 \pm 8 7}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 8 + 8 7}{2 ( - 4 )}, x_{2} = \frac{- 8 - 8 7}{2 ( - 4 )}

x = \frac{- 8 + 8 7}{2 ( - 4 )} : 1 - 7

x = \frac{- 8 - 8 7}{2 ( - 4 )} : 1 + 7

The solutions to the quadratic equation are:

x = 1 - 7, x = 1 + 7

\frac{3}{3 ^{2} + 1}

10 + 2 x^{2} = 20

- 36 + 20 x^{4}

15 \cdot 8

∣ - 8 n ∣ < 32

What are the solutions to the equation -24=8x-4x^2 ?
The solutions to the equation -24=8x-4x^2 are x=1-sqrt(7),x=1+sqrt(7)
Find the zeros of -24=8x-4x^2
The zeros of -24=8x-4x^2 are x=1-sqrt(7),x=1+sqrt(7)