What are the solutions to the equation x^2-7x=-13 ?

The solutions to the equation x^2-7x=-13 are x= 7/2+i(sqrt(3))/2 ,x= 7/2-i(sqrt(3))/2

Find the zeros of x^2-7x=-13

The zeros of x^2-7x=-13 are x= 7/2+i(sqrt(3))/2 ,x= 7/2-i(sqrt(3))/2

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x^{2} - 7 x = - 13

x = \frac{7}{2} + i \frac{3}{2}, x = \frac{7}{2} - i \frac{3}{2}

Solution steps

x^{2} - 7 x = - 13

Move

13

to the left side

x^{2} - 7 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 13}{2 \cdot 1}

Simplify

(- 7)^{2} - 4 \cdot 1 \cdot 13 : 3 i

x_{1, 2} = \frac{- ( - 7 ) \pm 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 3 i}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 3 i}{2 \cdot 1}

x = \frac{- ( - 7 ) + 3 i}{2 \cdot 1} : \frac{7}{2} + i \frac{3}{2}

x = \frac{- ( - 7 ) - 3 i}{2 \cdot 1} : \frac{7}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{7}{2} + i \frac{3}{2}, x = \frac{7}{2} - i \frac{3}{2}

2 (x - 5) = 5 (x - 4)

x^{3} - 8 x^{2} + 16 x

\frac{2}{3} y - 9 = 5

(x^{2})^{- 2}

(4 + 3) (4 - 3)

What are the solutions to the equation x^2-7x=-13 ?
The solutions to the equation x^2-7x=-13 are x= 7/2+i(sqrt(3))/2 ,x= 7/2-i(sqrt(3))/2
Find the zeros of x^2-7x=-13
The zeros of x^2-7x=-13 are x= 7/2+i(sqrt(3))/2 ,x= 7/2-i(sqrt(3))/2