What are the solutions to the equation x^2+15=10x ?

The solutions to the equation x^2+15=10x are x=5+sqrt(10),x=5-sqrt(10)

Find the zeros of x^2+15=10x

The zeros of x^2+15=10x are x=5+sqrt(10),x=5-sqrt(10)

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x^{2} + 15 = 10 x

x = 5 + 10, x = 5 - 10

Decimal Notation

x = 8.16227 \dots, x = 1.83772 \dots

Solution steps

x^{2} + 15 = 10 x

Move

10 x

to the left side

x^{2} + 15 - 10 x = 0

Write in the standard form

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

x^{2} - 10 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 15 = 210

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 5 + 10, x = 5 - 10

r^{2} + 2 r - 7 = 0

(u)^{2} - 17 u + 16 = 0

x, x^{2} - k x + 9 = 0

- 8 y^{2} = - 16

x^{2} + 6 x - 8 = 0

What are the solutions to the equation x^2+15=10x ?
The solutions to the equation x^2+15=10x are x=5+sqrt(10),x=5-sqrt(10)
Find the zeros of x^2+15=10x
The zeros of x^2+15=10x are x=5+sqrt(10),x=5-sqrt(10)