What are the solutions to the equation 20x^2-x=30 ?

The solutions to the equation 20x^2-x=30 are x= 5/4 ,x=-6/5

Find the zeros of 20x^2-x=30

The zeros of 20x^2-x=30 are x= 5/4 ,x=-6/5

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20 x^{2} - x = 30

x = \frac{5}{4}, x = - \frac{6}{5}

Decimal Notation

x = 1.25, x = - 1.2

Solution steps

20 x^{2} - x = 30

Move

30

to the left side

20 x^{2} - x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 20 ( - 30 )}{2 \cdot 20}

(- 1)^{2} - 4 \cdot 20 (- 30) = 49

x_{1, 2} = \frac{- ( - 1 ) \pm 49}{2 \cdot 20}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 49}{2 \cdot 20}, x_{2} = \frac{- ( - 1 ) - 49}{2 \cdot 20}

x = \frac{- ( - 1 ) + 49}{2 \cdot 20} : \frac{5}{4}

x = \frac{- ( - 1 ) - 49}{2 \cdot 20} : - \frac{6}{5}

The solutions to the quadratic equation are:

x = \frac{5}{4}, x = - \frac{6}{5}

x^{3} - 3 x + 2 = (x + a)^{2} (x + b)

(2 x + 3) (3 x - 1) = 0

4 x^{2} - 40 x + 109 = 0

x, x y^{2} + 4 x y + 3 x = x^{2} - 1

6 x^{2} - 5 x = - 4 x + 2

What are the solutions to the equation 20x^2-x=30 ?
The solutions to the equation 20x^2-x=30 are x= 5/4 ,x=-6/5
Find the zeros of 20x^2-x=30
The zeros of 20x^2-x=30 are x= 5/4 ,x=-6/5