What are the solutions to the equation x^2+5x+2=-4.5 ?

The solutions to the equation x^2+5x+2=-4.5 are x=-5/2+i 1/2 ,x=-5/2-i 1/2

Find the zeros of x^2+5x+2=-4.5

The zeros of x^2+5x+2=-4.5 are x=-5/2+i 1/2 ,x=-5/2-i 1/2

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x^{2} + 5 x + 2 = - 4.5

x = - \frac{5}{2} + i \frac{1}{2}, x = - \frac{5}{2} - i \frac{1}{2}

Solution steps

x^{2} + 5 x + 2 = - 4.5

Multiply both sides by

10

10 x^{2} + 50 x + 20 = - 45

Move

45

to the left side

10 x^{2} + 50 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 \cdot 10 \cdot 65}{2 \cdot 10}

Simplify

5 0^{2} - 4 \cdot 10 \cdot 65 : 10 i

x_{1, 2} = \frac{- 50 \pm 10 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 50 + 10 i}{2 \cdot 10}, x_{2} = \frac{- 50 - 10 i}{2 \cdot 10}

x = \frac{- 50 + 10 i}{2 \cdot 10} : - \frac{5}{2} + i \frac{1}{2}

x = \frac{- 50 - 10 i}{2 \cdot 10} : - \frac{5}{2} - i \frac{1}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{1}{2}, x = - \frac{5}{2} - i \frac{1}{2}

50 x^{2} - 2 = 0

x + 3 x^{2} = 1

m^{2} + 20 m + 64 = 0

x^{2} - x - 13 = 0

3 d^{2} - 2 d = 8

What are the solutions to the equation x^2+5x+2=-4.5 ?
The solutions to the equation x^2+5x+2=-4.5 are x=-5/2+i 1/2 ,x=-5/2-i 1/2
Find the zeros of x^2+5x+2=-4.5
The zeros of x^2+5x+2=-4.5 are x=-5/2+i 1/2 ,x=-5/2-i 1/2