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

The solutions to the equation x^2=2x+6 are x=1+sqrt(7),x=1-sqrt(7)

Find the zeros of x^2=2x+6

The zeros of x^2=2x+6 are x=1+sqrt(7),x=1-sqrt(7)

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x^{2} = 2 x + 6

x = 1 + 7, x = 1 - 7

Decimal Notation

x = 3.64575 \dots, x = - 1.64575 \dots

Solution steps

x^{2} = 2 x + 6

Move

6

to the left side

x^{2} - 6 = 2 x

Move

2 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot (- 6) = 27

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

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 7}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 2 7}{2 \cdot 1}

x = \frac{- ( - 2 ) + 2 7}{2 \cdot 1} : 1 + 7

x = \frac{- ( - 2 ) - 2 7}{2 \cdot 1} : 1 - 7

The solutions to the quadratic equation are:

x = 1 + 7, x = 1 - 7

x, 7 = 2 x^{2} - 11

2 x^{2} - 8 x + 7 = 0

0 = t^{2} - 6 t + 5

3 x^{2} + 2 x - 1 = 0

a, 70 a^{2} - 149 ab + 70 b^{2} = 0

What are the solutions to the equation x^2=2x+6 ?
The solutions to the equation x^2=2x+6 are x=1+sqrt(7),x=1-sqrt(7)
Find the zeros of x^2=2x+6
The zeros of x^2=2x+6 are x=1+sqrt(7),x=1-sqrt(7)