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

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

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

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

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x^{2} - 6 x = - 21

x = 3 + 23 i, x = 3 - 23 i

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}

Simplify

(- 6)^{2} - 4 \cdot 1 \cdot 21 : 43 i

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 1} : 3 + 23 i

x = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 1} : 3 - 23 i

The solutions to the quadratic equation are:

x = 3 + 23 i, x = 3 - 23 i

6 x^{2} - 6 x - 11 = 0

x, y = - 6 x^{2} + 42 x - 60

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

a, (x^{2} + y^{2})^{2} = 2 a^{2} x y

x^{2} + 28 x = 0

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