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

The solutions to the equation x^2-10x=5 are x=5+sqrt(30),x=5-sqrt(30)

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

The zeros of x^2-10x=5 are x=5+sqrt(30),x=5-sqrt(30)

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x^{2} - 10 x = 5

x = 5 + 30, x = 5 - 30

Decimal Notation

x = 10.47722 \dots, x = - 0.47722 \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) = 230

x_{1, 2} = \frac{- ( - 10 ) \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 30}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 30}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 30}{2 \cdot 1} : 5 + 30

x = \frac{- ( - 10 ) - 2 30}{2 \cdot 1} : 5 - 30

The solutions to the quadratic equation are:

x = 5 + 30, x = 5 - 30

x, f^{2} (x) = 2 x^{2} - 1

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

- 8 + 3 x^{2} + 2 x = 0

- 4 x^{2} + 4 x + 13

y^{2} + y^{2} = 1

What are the solutions to the equation x^2-10x=5 ?
The solutions to the equation x^2-10x=5 are x=5+sqrt(30),x=5-sqrt(30)
Find the zeros of x^2-10x=5
The zeros of x^2-10x=5 are x=5+sqrt(30),x=5-sqrt(30)