What are the solutions to the equation s^2-30s+205=-46 ?

The solutions to the equation s^2-30s+205=-46 are s=15+sqrt(26)i,s=15-sqrt(26)i

Find the zeros of s^2-30s+205=-46

The zeros of s^2-30s+205=-46 are s=15+sqrt(26)i,s=15-sqrt(26)i

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s^{2} - 30 s + 205 = - 46

s = 15 + 26 i, s = 15 - 26 i

Solution steps

s^{2} - 30 s + 205 = - 46

Move

46

to the left side

s^{2} - 30 s + 251 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot 251}{2 \cdot 1}

Simplify

(- 30)^{2} - 4 \cdot 1 \cdot 251 : 226 i

s_{1, 2} = \frac{- ( - 30 ) \pm 2 26 i}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- ( - 30 ) + 2 26 i}{2 \cdot 1}, s_{2} = \frac{- ( - 30 ) - 2 26 i}{2 \cdot 1}

s = \frac{- ( - 30 ) + 2 26 i}{2 \cdot 1} : 15 + 26 i

s = \frac{- ( - 30 ) - 2 26 i}{2 \cdot 1} : 15 - 26 i

The solutions to the quadratic equation are:

s = 15 + 26 i, s = 15 - 26 i

75 d^{2} + 25 d = 0

4 p^{2} - 5 p - 1 = 4 p

y^{2} + 20 (y + 5) = 0

x^{2} + 5 x - 16 = 0

(x + 4)^{2} + 8 = 0

What are the solutions to the equation s^2-30s+205=-46 ?
The solutions to the equation s^2-30s+205=-46 are s=15+sqrt(26)i,s=15-sqrt(26)i
Find the zeros of s^2-30s+205=-46
The zeros of s^2-30s+205=-46 are s=15+sqrt(26)i,s=15-sqrt(26)i