What are the solutions to the equation 6x^2-78x+240=0 ?

The solutions to the equation 6x^2-78x+240=0 are x=8,x=5

Find the zeros of 6x^2-78x+240=0

The zeros of 6x^2-78x+240=0 are x=8,x=5

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6 x^{2} - 78 x + 240 = 0

x = 8, x = 5

Solution steps

6 x^{2} - 78 x + 240 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 78 ) \pm ( - 78 ) ^{2} - 4 \cdot 6 \cdot 240}{2 \cdot 6}

(- 78)^{2} - 4 \cdot 6 \cdot 240 = 18

x_{1, 2} = \frac{- ( - 78 ) \pm 18}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 78 ) + 18}{2 \cdot 6}, x_{2} = \frac{- ( - 78 ) - 18}{2 \cdot 6}

x = \frac{- ( - 78 ) + 18}{2 \cdot 6} : 8

x = \frac{- ( - 78 ) - 18}{2 \cdot 6} : 5

The solutions to the quadratic equation are:

x = 8, x = 5

2 x^{2} - 5 x - 7

36 = 3 y

7 x^{2} + 1 = 0

\frac{a ^{2} - 1}{a ^{3} + 1} \cdot \frac{a ^{2} - a + 1}{a ^{2} + 2 a + 1}

- 80 = x^{2} + 160 x - 6400

What are the solutions to the equation 6x^2-78x+240=0 ?
The solutions to the equation 6x^2-78x+240=0 are x=8,x=5
Find the zeros of 6x^2-78x+240=0
The zeros of 6x^2-78x+240=0 are x=8,x=5