What are the solutions to the equation 0.04x^2-2.7x+8.6=0 ?

The solutions to the equation 0.04x^2-2.7x+8.6=0 are x=(135+sqrt(14785))/4 ,x=(135-sqrt(14785))/4

Find the zeros of 0.04x^2-2.7x+8.6=0

The zeros of 0.04x^2-2.7x+8.6=0 are x=(135+sqrt(14785))/4 ,x=(135-sqrt(14785))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.04 x^{2} - 2.7 x + 8.6 = 0

x = \frac{135 + 14785}{4}, x = \frac{135 - 14785}{4}

Decimal Notation

x = 64.14839 \dots, x = 3.35160 \dots

Solution steps

0.04 x^{2} - 2.7 x + 8.6 = 0

Multiply both sides by

100

4 x^{2} - 270 x + 860 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 270 ) \pm ( - 270 ) ^{2} - 4 \cdot 4 \cdot 860}{2 \cdot 4}

(- 270)^{2} - 4 \cdot 4 \cdot 860 = 214785

x_{1, 2} = \frac{- ( - 270 ) \pm 2 14785}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 270 ) + 2 14785}{2 \cdot 4}, x_{2} = \frac{- ( - 270 ) - 2 14785}{2 \cdot 4}

x = \frac{- ( - 270 ) + 2 14785}{2 \cdot 4} : \frac{135 + 14785}{4}

x = \frac{- ( - 270 ) - 2 14785}{2 \cdot 4} : \frac{135 - 14785}{4}

The solutions to the quadratic equation are:

x = \frac{135 + 14785}{4}, x = \frac{135 - 14785}{4}

3 x^{2} - 16 x - 84 = 0

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

(x - a) (x + b) = 0

- 16 x^{2} + 112 x + 84 = 0

\frac{1}{2} x^{2} + x - 12 = 0

What are the solutions to the equation 0.04x^2-2.7x+8.6=0 ?
The solutions to the equation 0.04x^2-2.7x+8.6=0 are x=(135+sqrt(14785))/4 ,x=(135-sqrt(14785))/4
Find the zeros of 0.04x^2-2.7x+8.6=0
The zeros of 0.04x^2-2.7x+8.6=0 are x=(135+sqrt(14785))/4 ,x=(135-sqrt(14785))/4