What are the solutions to the equation x^2+x+1.5=0 ?

The solutions to the equation x^2+x+1.5=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

Find the zeros of x^2+x+1.5=0

The zeros of x^2+x+1.5=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

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x^{2} + x + 1.5 = 0

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

Solution steps

x^{2} + x + 1.5 = 0

Multiply both sides by

10

10 x^{2} + 10 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 10 \cdot 15}{2 \cdot 10}

Simplify

1 0^{2} - 4 \cdot 10 \cdot 15 : 105 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

5 x (x - 1) = 2 (x^{2} - 7 x - 8)

0.1673 = 1.24 x - 7.9 x^{2}

(x + 5) (x + 2) - (x - 5) 2 = 3 (4 x - 3)

x, z = x^{2} + x y + \frac{1}{2} y^{2} - 2 x + y

5 (5 + 3) = x (x + 6)

What are the solutions to the equation x^2+x+1.5=0 ?
The solutions to the equation x^2+x+1.5=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2
Find the zeros of x^2+x+1.5=0
The zeros of x^2+x+1.5=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2