What are the solutions to the equation 0=z^2+2.5z-1.5 ?

The solutions to the equation 0=z^2+2.5z-1.5 are z= 1/2 ,z=-3

Find the zeros of 0=z^2+2.5z-1.5

The zeros of 0=z^2+2.5z-1.5 are z= 1/2 ,z=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = z^{2} + 2.5 z - 1.5

z = \frac{1}{2}, z = - 3

Decimal Notation

z = 0.5, z = - 3

Solution steps

0 = z^{2} + 2.5 z - 1.5

Multiply both sides by

10

0 = 10 z^{2} + 25 z - 15

Switch sides

10 z^{2} + 25 z - 15 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 25 \pm 2 5 ^{2} - 4 \cdot 10 ( - 15 )}{2 \cdot 10}

2 5^{2} - 4 \cdot 10 (- 15) = 35

z_{1, 2} = \frac{- 25 \pm 35}{2 \cdot 10}

Separate the solutions

z_{1} = \frac{- 25 + 35}{2 \cdot 10}, z_{2} = \frac{- 25 - 35}{2 \cdot 10}

z = \frac{- 25 + 35}{2 \cdot 10} : \frac{1}{2}

z = \frac{- 25 - 35}{2 \cdot 10} : - 3

The solutions to the quadratic equation are:

z = \frac{1}{2}, z = - 3

z^{2} - z + 0.5 = 0

(x - 2 + 5 x) (x + 2 + 5 x) - 5 x = x^{2} + 6

x^{2} + 8 x - 100 = - 7

2 x^{2} - 4 = - 3 x

8 x^{2} + 16 x - 3 = 0

What are the solutions to the equation 0=z^2+2.5z-1.5 ?
The solutions to the equation 0=z^2+2.5z-1.5 are z= 1/2 ,z=-3
Find the zeros of 0=z^2+2.5z-1.5
The zeros of 0=z^2+2.5z-1.5 are z= 1/2 ,z=-3