What are the solutions to the equation x^2-6x=5 ?

The solutions to the equation x^2-6x=5 are x=3+sqrt(14),x=3-sqrt(14)

Find the zeros of x^2-6x=5

The zeros of x^2-6x=5 are x=3+sqrt(14),x=3-sqrt(14)

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x^{2} - 6 x = 5

x = 3 + 14, x = 3 - 14

Decimal Notation

x = 6.74165 \dots, x = - 0.74165 \dots

Solution steps

x^{2} - 6 x = 5

Move

5

to the left side

x^{2} - 6 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 5) = 214

x_{1, 2} = \frac{- ( - 6 ) \pm 2 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 14}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 14}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 14}{2 \cdot 1} : 3 + 14

x = \frac{- ( - 6 ) - 2 14}{2 \cdot 1} : 3 - 14

The solutions to the quadratic equation are:

x = 3 + 14, x = 3 - 14

3 x^{2} - 28 x + 9 = 0

- \frac{1}{2} - 6

2 a^{2} + 7 a - 22

(4 k^{2} + 8 k + 2) - (2 k + 3)

What are the solutions to the equation x^2-6x=5 ?
The solutions to the equation x^2-6x=5 are x=3+sqrt(14),x=3-sqrt(14)
Find the zeros of x^2-6x=5
The zeros of x^2-6x=5 are x=3+sqrt(14),x=3-sqrt(14)