What are the solutions to the equation x^2-2x=30 ?

The solutions to the equation x^2-2x=30 are x=1+sqrt(31),x=1-sqrt(31)

Find the zeros of x^2-2x=30

The zeros of x^2-2x=30 are x=1+sqrt(31),x=1-sqrt(31)

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x^{2} - 2 x = 30

x = 1 + 31, x = 1 - 31

Decimal Notation

x = 6.56776 \dots, x = - 4.56776 \dots

Solution steps

x^{2} - 2 x = 30

Move

30

to the left side

x^{2} - 2 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 30) = 231

x_{1, 2} = \frac{- ( - 2 ) \pm 2 31}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 31}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 2 31}{2 \cdot 1}

x = \frac{- ( - 2 ) + 2 31}{2 \cdot 1} : 1 + 31

x = \frac{- ( - 2 ) - 2 31}{2 \cdot 1} : 1 - 31

The solutions to the quadratic equation are:

x = 1 + 31, x = 1 - 31

\frac{x + 1}{4} = 3 - \frac{x + 4}{3}

- \frac{a}{3} = - 12

\frac{2}{3} \cdot 6

2 \cdot 7

\frac{1}{3} + \frac{3}{2}

What are the solutions to the equation x^2-2x=30 ?
The solutions to the equation x^2-2x=30 are x=1+sqrt(31),x=1-sqrt(31)
Find the zeros of x^2-2x=30
The zeros of x^2-2x=30 are x=1+sqrt(31),x=1-sqrt(31)