What are the solutions to the equation x^2-10x=-5 ?

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

Find the zeros of x^2-10x=-5

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

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x^{2} - 10 x = - 5

x = 5 + 25, x = 5 - 25

Decimal Notation

x = 9.47213 \dots, x = 0.52786 \dots

Solution steps

x^{2} - 10 x = - 5

Move

5

to the left side

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 1 \cdot 5 = 45

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

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 5}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 4 5}{2 \cdot 1}

x = \frac{- ( - 10 ) + 4 5}{2 \cdot 1} : 5 + 25

x = \frac{- ( - 10 ) - 4 5}{2 \cdot 1} : 5 - 25

The solutions to the quadratic equation are:

x = 5 + 25, x = 5 - 25

x^{2} - 10 x = - 8

- \frac{49}{5} x = 7 (x + 7) (x - 2)

- 7 x^{2} - 24 x - 9 = 0

2 x^{2} - x + \frac{1}{8} = 0

x = 6 \cdot 1 0^{- 3} (1 - \frac{( 1600 \cdot x ) + 3}{6})^{2}

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