What are the solutions to the equation x^2-6x=-7 ?

The solutions to the equation x^2-6x=-7 are x=3+sqrt(2),x=3-sqrt(2)

Find the zeros of x^2-6x=-7

The zeros of x^2-6x=-7 are x=3+sqrt(2),x=3-sqrt(2)

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Popular >

x^{2} - 6 x = - 7

x = 3 + 2, x = 3 - 2

Decimal Notation

x = 4.41421 \dots, x = 1.58578 \dots

Solution steps

x^{2} - 6 x = - 7

Move

7

to the left side

x^{2} - 6 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 7}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 7 = 22

x_{1, 2} = \frac{- ( - 6 ) \pm 2 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 2}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 2}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 2}{2 \cdot 1} : 3 + 2

x = \frac{- ( - 6 ) - 2 2}{2 \cdot 1} : 3 - 2

The solutions to the quadratic equation are:

x = 3 + 2, x = 3 - 2

32 - 52

18 x^{2} = 15 x

2 x^{2} + 17 = 179

\frac{y}{2} \geq 3

- x^{2} + 1 > 3 x + 1

What are the solutions to the equation x^2-6x=-7 ?
The solutions to the equation x^2-6x=-7 are x=3+sqrt(2),x=3-sqrt(2)
Find the zeros of x^2-6x=-7
The zeros of x^2-6x=-7 are x=3+sqrt(2),x=3-sqrt(2)