What are the solutions to the equation x^2-6x=21 ?

The solutions to the equation x^2-6x=21 are x=3+sqrt(30),x=3-sqrt(30)

Find the zeros of x^2-6x=21

The zeros of x^2-6x=21 are x=3+sqrt(30),x=3-sqrt(30)

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x^{2} - 6 x = 21

x = 3 + 30, x = 3 - 30

Decimal Notation

x = 8.47722 \dots, x = - 2.47722 \dots

Solution steps

x^{2} - 6 x = 21

Move

21

to the left side

x^{2} - 6 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 21 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 21) = 230

x_{1, 2} = \frac{- ( - 6 ) \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 30}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 30}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 30}{2 \cdot 1} : 3 + 30

x = \frac{- ( - 6 ) - 2 30}{2 \cdot 1} : 3 - 30

The solutions to the quadratic equation are:

x = 3 + 30, x = 3 - 30

128 x^{3} - 54

\frac{1}{2} x^{2} - \frac{3}{2} x - \frac{4}{3} = 0

z^{2} + 13 z + 12

\frac{1}{2} \cdot \frac{2}{2}

- 3 x - 10 < 6

What are the solutions to the equation x^2-6x=21 ?
The solutions to the equation x^2-6x=21 are x=3+sqrt(30),x=3-sqrt(30)
Find the zeros of x^2-6x=21
The zeros of x^2-6x=21 are x=3+sqrt(30),x=3-sqrt(30)