What are the solutions to the equation x^2-10x-3=5 ?

The solutions to the equation x^2-10x-3=5 are x=5+sqrt(33),x=5-sqrt(33)

Find the zeros of x^2-10x-3=5

The zeros of x^2-10x-3=5 are x=5+sqrt(33),x=5-sqrt(33)

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x^{2} - 10 x - 3 = 5

x = 5 + 33, x = 5 - 33

Decimal Notation

x = 10.74456 \dots, x = - 0.74456 \dots

Solution steps

x^{2} - 10 x - 3 = 5

Move

5

to the left side

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) = 233

x_{1, 2} = \frac{- ( - 10 ) \pm 2 33}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 33}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 33}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 33}{2 \cdot 1} : 5 + 33

x = \frac{- ( - 10 ) - 2 33}{2 \cdot 1} : 5 - 33

The solutions to the quadratic equation are:

x = 5 + 33, x = 5 - 33

x, x^{2} - 2 = 0

x^{2} + 2 x - 48 = 0

\frac{1}{2} x^{2} = \frac{x}{4} + 1

x, x y - x^{2} = 2 x

x^{2} + x = 18

What are the solutions to the equation x^2-10x-3=5 ?
The solutions to the equation x^2-10x-3=5 are x=5+sqrt(33),x=5-sqrt(33)
Find the zeros of x^2-10x-3=5
The zeros of x^2-10x-3=5 are x=5+sqrt(33),x=5-sqrt(33)