What are the solutions to the equation x^2+2.5x+60=0 ?

The solutions to the equation x^2+2.5x+60=0 are x=-5/4+i(sqrt(935))/4 ,x=-5/4-i(sqrt(935))/4

Find the zeros of x^2+2.5x+60=0

The zeros of x^2+2.5x+60=0 are x=-5/4+i(sqrt(935))/4 ,x=-5/4-i(sqrt(935))/4

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x^{2} + 2.5 x + 60 = 0

x = - \frac{5}{4} + i \frac{935}{4}, x = - \frac{5}{4} - i \frac{935}{4}

Solution steps

x^{2} + 2.5 x + 60 = 0

Multiply both sides by

10

10 x^{2} + 25 x + 600 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 25 \pm 2 5 ^{2} - 4 \cdot 10 \cdot 600}{2 \cdot 10}

Simplify

2 5^{2} - 4 \cdot 10 \cdot 600 : 5935 i

x_{1, 2} = \frac{- 25 \pm 5 935 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 25 + 5 935 i}{2 \cdot 10}, x_{2} = \frac{- 25 - 5 935 i}{2 \cdot 10}

x = \frac{- 25 + 5 935 i}{2 \cdot 10} : - \frac{5}{4} + i \frac{935}{4}

x = \frac{- 25 - 5 935 i}{2 \cdot 10} : - \frac{5}{4} - i \frac{935}{4}

The solutions to the quadratic equation are:

x = - \frac{5}{4} + i \frac{935}{4}, x = - \frac{5}{4} - i \frac{935}{4}

14 - 46

392 = 3.5 (r + 14) + 3.5 r

8 - 5

4 x - 3 = - 2 x + 3

\frac{2 x}{2 - 5} = - 25

What are the solutions to the equation x^2+2.5x+60=0 ?
The solutions to the equation x^2+2.5x+60=0 are x=-5/4+i(sqrt(935))/4 ,x=-5/4-i(sqrt(935))/4
Find the zeros of x^2+2.5x+60=0
The zeros of x^2+2.5x+60=0 are x=-5/4+i(sqrt(935))/4 ,x=-5/4-i(sqrt(935))/4