What are the solutions to the equation 6x^2-7x=20 ?

The solutions to the equation 6x^2-7x=20 are x= 5/2 ,x=-4/3

Find the zeros of 6x^2-7x=20

The zeros of 6x^2-7x=20 are x= 5/2 ,x=-4/3

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6 x^{2} - 7 x = 20

x = \frac{5}{2}, x = - \frac{4}{3}

Decimal Notation

x = 2.5, x = - 1.33333 \dots

Solution steps

6 x^{2} - 7 x = 20

Move

20

to the left side

6 x^{2} - 7 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 6 ( - 20 )}{2 \cdot 6}

(- 7)^{2} - 4 \cdot 6 (- 20) = 23

x_{1, 2} = \frac{- ( - 7 ) \pm 23}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 23}{2 \cdot 6}, x_{2} = \frac{- ( - 7 ) - 23}{2 \cdot 6}

x = \frac{- ( - 7 ) + 23}{2 \cdot 6} : \frac{5}{2}

x = \frac{- ( - 7 ) - 23}{2 \cdot 6} : - \frac{4}{3}

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = - \frac{4}{3}

x, x^{2} + y^{2} - 8 x + 27 - 8 = 0

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

x^{2} + x - 6 = 6

a, x^{2} + (y - a)^{2} = 25

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

What are the solutions to the equation 6x^2-7x=20 ?
The solutions to the equation 6x^2-7x=20 are x= 5/2 ,x=-4/3
Find the zeros of 6x^2-7x=20
The zeros of 6x^2-7x=20 are x= 5/2 ,x=-4/3