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

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

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

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

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x^{2} - 21 = - 6 x

x = - 3 + 30, x = - 3 - 30

Decimal Notation

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

Solution steps

x^{2} - 21 = - 6 x

Move

6 x

to the left side

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

Write in the standard form

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

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

x^{2} - 5 x + 25 = 10 x

3 (x + 7)^{2} = 48

7 x^{2} + 25 x - 12 = 0

- x^{2} + 3 x = - 4

2 x^{2} + 7 x 3 + 9 = 0

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