What are the solutions to the equation -0.5x^2+2.5x+4.5=0 ?

The solutions to the equation -0.5x^2+2.5x+4.5=0 are x=-(-5+sqrt(61))/2 ,x=(5+sqrt(61))/2

Find the zeros of -0.5x^2+2.5x+4.5=0

The zeros of -0.5x^2+2.5x+4.5=0 are x=-(-5+sqrt(61))/2 ,x=(5+sqrt(61))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 0.5 x^{2} + 2.5 x + 4.5 = 0

x = - \frac{- 5 + 61}{2}, x = \frac{5 + 61}{2}

Decimal Notation

x = - 1.40512 \dots, x = 6.40512 \dots

Solution steps

- 0.5 x^{2} + 2.5 x + 4.5 = 0

Multiply both sides by

10

- 5 x^{2} + 25 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 25 \pm 2 5 ^{2} - 4 ( - 5 ) \cdot 45}{2 ( - 5 )}

2 5^{2} - 4 (- 5) \cdot 45 = 561

x_{1, 2} = \frac{- 25 \pm 5 61}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 25 + 5 61}{2 ( - 5 )}, x_{2} = \frac{- 25 - 5 61}{2 ( - 5 )}

x = \frac{- 25 + 5 61}{2 ( - 5 )} : - \frac{- 5 + 61}{2}

x = \frac{- 25 - 5 61}{2 ( - 5 )} : \frac{5 + 61}{2}

The solutions to the quadratic equation are:

x = - \frac{- 5 + 61}{2}, x = \frac{5 + 61}{2}

(x - 8) (x - 6) = - 1

5 (x - 2) - 3 x \geq 3 (x + 2)

6 x - 1 = 5

\frac{x - 3}{2} - \frac{2 - x}{3} > 3

x (5 x - 9) = 14

What are the solutions to the equation -0.5x^2+2.5x+4.5=0 ?
The solutions to the equation -0.5x^2+2.5x+4.5=0 are x=-(-5+sqrt(61))/2 ,x=(5+sqrt(61))/2
Find the zeros of -0.5x^2+2.5x+4.5=0
The zeros of -0.5x^2+2.5x+4.5=0 are x=-(-5+sqrt(61))/2 ,x=(5+sqrt(61))/2