What are the solutions to the equation 0=-16x^2+64x+5 ?

The solutions to the equation 0=-16x^2+64x+5 are x=-(-8+sqrt(69))/4 ,x=(8+sqrt(69))/4

Find the zeros of 0=-16x^2+64x+5

The zeros of 0=-16x^2+64x+5 are x=-(-8+sqrt(69))/4 ,x=(8+sqrt(69))/4

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0 = - 16 x^{2} + 64 x + 5

x = - \frac{- 8 + 69}{4}, x = \frac{8 + 69}{4}

Decimal Notation

x = - 0.07665 \dots, x = 4.07665 \dots

Solution steps

0 = - 16 x^{2} + 64 x + 5

Switch sides

- 16 x^{2} + 64 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 64 \pm 6 4 ^{2} - 4 ( - 16 ) \cdot 5}{2 ( - 16 )}

6 4^{2} - 4 (- 16) \cdot 5 = 869

x_{1, 2} = \frac{- 64 \pm 8 69}{2 ( - 16 )}

Separate the solutions

x_{1} = \frac{- 64 + 8 69}{2 ( - 16 )}, x_{2} = \frac{- 64 - 8 69}{2 ( - 16 )}

x = \frac{- 64 + 8 69}{2 ( - 16 )} : - \frac{- 8 + 69}{4}

x = \frac{- 64 - 8 69}{2 ( - 16 )} : \frac{8 + 69}{4}

The solutions to the quadratic equation are:

x = - \frac{- 8 + 69}{4}, x = \frac{8 + 69}{4}

∣ m + 7 ∣ + 8 = 31

x^{2} y^{2} - x y

x^{2} + 4 x - 136 = 0

2 x^{2} + 3 x y - 2 y^{2}

4 x - 7 = 21

What are the solutions to the equation 0=-16x^2+64x+5 ?
The solutions to the equation 0=-16x^2+64x+5 are x=-(-8+sqrt(69))/4 ,x=(8+sqrt(69))/4
Find the zeros of 0=-16x^2+64x+5
The zeros of 0=-16x^2+64x+5 are x=-(-8+sqrt(69))/4 ,x=(8+sqrt(69))/4