What are the solutions to the equation x^2+8=10x ?

The solutions to the equation x^2+8=10x are x=5+sqrt(17),x=5-sqrt(17)

Find the zeros of x^2+8=10x

The zeros of x^2+8=10x are x=5+sqrt(17),x=5-sqrt(17)

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x^{2} + 8 = 10 x

x = 5 + 17, x = 5 - 17

Decimal Notation

x = 9.12310 \dots, x = 0.87689 \dots

Solution steps

x^{2} + 8 = 10 x

Move

10 x

to the left side

x^{2} + 8 - 10 x = 0

Write in the standard form

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

x^{2} - 10 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 8 = 217

x_{1, 2} = \frac{- ( - 10 ) \pm 2 17}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 17}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 17}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 17}{2 \cdot 1} : 5 + 17

x = \frac{- ( - 10 ) - 2 17}{2 \cdot 1} : 5 - 17

The solutions to the quadratic equation are:

x = 5 + 17, x = 5 - 17

x, 2 x^{2} - 4 x y + 3 y^{2} - 8 x + 8 y - 1 = 0

15 x^{2} - 8 x + 1 = 0

242.68 = 292.11 x - \frac{75.76 x ^{2}}{2}

4 x^{2} + 12 x + 9 = 81

- 3 x^{2} + 20 = x^{2} - 16

What are the solutions to the equation x^2+8=10x ?
The solutions to the equation x^2+8=10x are x=5+sqrt(17),x=5-sqrt(17)
Find the zeros of x^2+8=10x
The zeros of x^2+8=10x are x=5+sqrt(17),x=5-sqrt(17)