What are the solutions to the equation x^2-10x=-11 ?

The solutions to the equation x^2-10x=-11 are x=5+sqrt(14),x=5-sqrt(14)

Find the zeros of x^2-10x=-11

The zeros of x^2-10x=-11 are x=5+sqrt(14),x=5-sqrt(14)

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x^{2} - 10 x = - 11

x = 5 + 14, x = 5 - 14

Decimal Notation

x = 8.74165 \dots, x = 1.25834 \dots

Solution steps

x^{2} - 10 x = - 11

Move

11

to the left side

x^{2} - 10 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 11 = 214

x_{1, 2} = \frac{- ( - 10 ) \pm 2 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 14}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 14}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 14}{2 \cdot 1} : 5 + 14

x = \frac{- ( - 10 ) - 2 14}{2 \cdot 1} : 5 - 14

The solutions to the quadratic equation are:

x = 5 + 14, x = 5 - 14

x^{2} - 10 x = - 13

x^{2} - 10 x = - 15

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

- 5 x^{2} + 5 x - 1.2 = 0

- 5 x^{2} - 6 = - 4 x

What are the solutions to the equation x^2-10x=-11 ?
The solutions to the equation x^2-10x=-11 are x=5+sqrt(14),x=5-sqrt(14)
Find the zeros of x^2-10x=-11
The zeros of x^2-10x=-11 are x=5+sqrt(14),x=5-sqrt(14)