What are the solutions to the equation x^2=10x-34 ?

The solutions to the equation x^2=10x-34 are x=5+3i,x=5-3i

Find the zeros of x^2=10x-34

The zeros of x^2=10x-34 are x=5+3i,x=5-3i

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x^{2} = 10 x - 34

x = 5 + 3 i, x = 5 - 3 i

Solution steps

x^{2} = 10 x - 34

Move

34

to the left side

x^{2} + 34 = 10 x

Move

10 x

to the left side

x^{2} + 34 - 10 x = 0

Write in the standard form

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

x^{2} - 10 x + 34 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 34}{2 \cdot 1}

Simplify

(- 10)^{2} - 4 \cdot 1 \cdot 34 : 6 i

x_{1, 2} = \frac{- ( - 10 ) \pm 6 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 6 i}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 6 i}{2 \cdot 1}

x = \frac{- ( - 10 ) + 6 i}{2 \cdot 1} : 5 + 3 i

x = \frac{- ( - 10 ) - 6 i}{2 \cdot 1} : 5 - 3 i

The solutions to the quadratic equation are:

x = 5 + 3 i, x = 5 - 3 i

4 + 4 (x - y) + (x - y)^{2}

16 a^{3} b^{7} + 2 a^{6} b^{4} - 22 a^{4} b^{5}

x^{2} - 3 x - 10 = 0

a^{2} + 5 a - 24

- 3 x + 2 \leq - 4

What are the solutions to the equation x^2=10x-34 ?
The solutions to the equation x^2=10x-34 are x=5+3i,x=5-3i
Find the zeros of x^2=10x-34
The zeros of x^2=10x-34 are x=5+3i,x=5-3i