What are the solutions to the equation -0.5x^2+2x+1.5=0 ?

The solutions to the equation -0.5x^2+2x+1.5=0 are x=2-sqrt(7),x=2+sqrt(7)

Find the zeros of -0.5x^2+2x+1.5=0

The zeros of -0.5x^2+2x+1.5=0 are x=2-sqrt(7),x=2+sqrt(7)

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- 0.5 x^{2} + 2 x + 1.5 = 0

x = 2 - 7, x = 2 + 7

Decimal Notation

x = - 0.64575 \dots, x = 4.64575 \dots

Solution steps

- 0.5 x^{2} + 2 x + 1.5 = 0

Multiply both sides by

10

- 5 x^{2} + 20 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 5 ) \cdot 15}{2 ( - 5 )}

2 0^{2} - 4 (- 5) \cdot 15 = 107

x_{1, 2} = \frac{- 20 \pm 10 7}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 20 + 10 7}{2 ( - 5 )}, x_{2} = \frac{- 20 - 10 7}{2 ( - 5 )}

x = \frac{- 20 + 10 7}{2 ( - 5 )} : 2 - 7

x = \frac{- 20 - 10 7}{2 ( - 5 )} : 2 + 7

The solutions to the quadratic equation are:

x = 2 - 7, x = 2 + 7

x^{2} + 5 x + 9 = 0

1 - 2 x + x^{2} = 0

a, a^{2} y^{2} + 3 ab y + 2 b^{2} = 0

c^{2} - 10 c = 0

7 d^{2} - 11 d + 4 = 4 d^{2}

What are the solutions to the equation -0.5x^2+2x+1.5=0 ?
The solutions to the equation -0.5x^2+2x+1.5=0 are x=2-sqrt(7),x=2+sqrt(7)
Find the zeros of -0.5x^2+2x+1.5=0
The zeros of -0.5x^2+2x+1.5=0 are x=2-sqrt(7),x=2+sqrt(7)