What are the solutions to the equation 1/30 X^2-4/5 X-6=0 ?

The solutions to the equation 1/30 X^2-4/5 X-6=0 are X=30,X=-6

Find the zeros of 1/30 X^2-4/5 X-6=0

The zeros of 1/30 X^2-4/5 X-6=0 are X=30,X=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{1}{30} X^{2} - \frac{4}{5} X - 6 = 0

X = 30, X = - 6

Solution steps

\frac{1}{30} X^{2} - \frac{4}{5} X - 6 = 0

Find Least Common Multiplier of

30, 5 : 30

Multiply by LCM=

30

\frac{1}{30} X^{2} \cdot 30 - \frac{4}{5} X \cdot 30 - 6 \cdot 30 = 0 \cdot 30

Simplify

X^{2} - 24 X - 180 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 1 \cdot ( - 180 )}{2 \cdot 1}

(- 24)^{2} - 4 \cdot 1 \cdot (- 180) = 36

X_{1, 2} = \frac{- ( - 24 ) \pm 36}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- ( - 24 ) + 36}{2 \cdot 1}, X_{2} = \frac{- ( - 24 ) - 36}{2 \cdot 1}

X = \frac{- ( - 24 ) + 36}{2 \cdot 1} : 30

X = \frac{- ( - 24 ) - 36}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

X = 30, X = - 6

x, x^{2} + z^{2} = y

10 x^{2} = 4 x + 32

2 a^{2} - 17 a + 8 = 0

9 x^{2} - x = 4 x + 7 x^{2}

(x + 5)^{2} = (x + 1)^{2} + (2 x)^{2}

What are the solutions to the equation 1/30 X^2-4/5 X-6=0 ?
The solutions to the equation 1/30 X^2-4/5 X-6=0 are X=30,X=-6
Find the zeros of 1/30 X^2-4/5 X-6=0
The zeros of 1/30 X^2-4/5 X-6=0 are X=30,X=-6