What are the solutions to the equation 5x(8-x)=10 ?

The solutions to the equation 5x(8-x)=10 are x=4-sqrt(14),x=4+sqrt(14)

Find the zeros of 5x(8-x)=10

The zeros of 5x(8-x)=10 are x=4-sqrt(14),x=4+sqrt(14)

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5 x (8 - x) = 10

x = 4 - 14, x = 4 + 14

Decimal Notation

x = 0.25834 \dots, x = 7.74165 \dots

Solution steps

5 x (8 - x) = 10

Expand

5 x (8 - x) : 40 x - 5 x^{2}

40 x - 5 x^{2} = 10

Move

10

to the left side

40 x - 5 x^{2} - 10 = 0

Write in the standard form

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

- 5 x^{2} + 40 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 40 \pm 4 0 ^{2} - 4 ( - 5 ) ( - 10 )}{2 ( - 5 )}

4 0^{2} - 4 (- 5) (- 10) = 1014

x_{1, 2} = \frac{- 40 \pm 10 14}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 40 + 10 14}{2 ( - 5 )}, x_{2} = \frac{- 40 - 10 14}{2 ( - 5 )}

x = \frac{- 40 + 10 14}{2 ( - 5 )} : 4 - 14

x = \frac{- 40 - 10 14}{2 ( - 5 )} : 4 + 14

The solutions to the quadratic equation are:

x = 4 - 14, x = 4 + 14

\frac{x}{3} \leq x + 2

(\frac{1}{2})^{\frac{2}{3}}

\frac{x ^{6}}{x ^{- 2}}

4 (y + 1) - y = 3 (y - 1) + 7

9 \cdot - 1 \cdot 2

What are the solutions to the equation 5x(8-x)=10 ?
The solutions to the equation 5x(8-x)=10 are x=4-sqrt(14),x=4+sqrt(14)
Find the zeros of 5x(8-x)=10
The zeros of 5x(8-x)=10 are x=4-sqrt(14),x=4+sqrt(14)