What are the solutions to the equation x^2-9x=-29 ?

The solutions to the equation x^2-9x=-29 are x= 9/2+i(sqrt(35))/2 ,x= 9/2-i(sqrt(35))/2

Find the zeros of x^2-9x=-29

The zeros of x^2-9x=-29 are x= 9/2+i(sqrt(35))/2 ,x= 9/2-i(sqrt(35))/2

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x^{2} - 9 x = - 29

x = \frac{9}{2} + i \frac{35}{2}, x = \frac{9}{2} - i \frac{35}{2}

Solution steps

x^{2} - 9 x = - 29

Move

29

to the left side

x^{2} - 9 x + 29 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot 29}{2 \cdot 1}

Simplify

(- 9)^{2} - 4 \cdot 1 \cdot 29 : 35 i

x_{1, 2} = \frac{- ( - 9 ) \pm 35 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 35 i}{2 \cdot 1}, x_{2} = \frac{- ( - 9 ) - 35 i}{2 \cdot 1}

x = \frac{- ( - 9 ) + 35 i}{2 \cdot 1} : \frac{9}{2} + i \frac{35}{2}

x = \frac{- ( - 9 ) - 35 i}{2 \cdot 1} : \frac{9}{2} - i \frac{35}{2}

The solutions to the quadratic equation are:

x = \frac{9}{2} + i \frac{35}{2}, x = \frac{9}{2} - i \frac{35}{2}

x^{2} - 6 x + 9 = - 3

- 9 x^{2} + 153 x - 144 = 0

2 x^{2} + 4 x + 30 = 0

x^{2} + 2 x - 0.5 = 0

(x + 2)^{2} + x^{2} = 74

What are the solutions to the equation x^2-9x=-29 ?
The solutions to the equation x^2-9x=-29 are x= 9/2+i(sqrt(35))/2 ,x= 9/2-i(sqrt(35))/2
Find the zeros of x^2-9x=-29
The zeros of x^2-9x=-29 are x= 9/2+i(sqrt(35))/2 ,x= 9/2-i(sqrt(35))/2