What are the solutions to the equation z^2-10z+34=0 ?

The solutions to the equation z^2-10z+34=0 are z=5+3i,z=5-3i

Find the zeros of z^2-10z+34=0

The zeros of z^2-10z+34=0 are z=5+3i,z=5-3i

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

z = 5 + 3 i, z = 5 - 3 i

Solution steps

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

Solve with the quadratic formula

z_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

z = 5 + 3 i, z = 5 - 3 i

1 - \frac{7}{30} x - \frac{1}{15} x^{2} = 0

(x + 9) (x - 3) = 0

a, 9 a^{2} - a^{2} = c^{2}

x (3 (x - 4)) + (x - 3) + (4 x + 2) + (2 x - 1) = 300

19.2 = - 0.3 x^{2} + 6 x

What are the solutions to the equation z^2-10z+34=0 ?
The solutions to the equation z^2-10z+34=0 are z=5+3i,z=5-3i
Find the zeros of z^2-10z+34=0
The zeros of z^2-10z+34=0 are z=5+3i,z=5-3i