What are the solutions to the equation 35-6x=8x^2 ?

The solutions to the equation 35-6x=8x^2 are x= 7/4 ,x=-5/2

Find the zeros of 35-6x=8x^2

The zeros of 35-6x=8x^2 are x= 7/4 ,x=-5/2

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35 - 6 x = 8 x^{2}

x = \frac{7}{4}, x = - \frac{5}{2}

Solution steps

35 - 6 x = 8 x^{2}

Switch sides

8 x^{2} = 35 - 6 x

Move

6 x

to the left side

8 x^{2} + 6 x = 35

Move

35

to the left side

8 x^{2} + 6 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 8 ( - 35 )}{2 \cdot 8}

6^{2} - 4 \cdot 8 (- 35) = 34

x_{1, 2} = \frac{- 6 \pm 34}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- 6 + 34}{2 \cdot 8}, x_{2} = \frac{- 6 - 34}{2 \cdot 8}

x = \frac{- 6 + 34}{2 \cdot 8} : \frac{7}{4}

x = \frac{- 6 - 34}{2 \cdot 8} : - \frac{5}{2}

The solutions to the quadratic equation are:

x = \frac{7}{4}, x = - \frac{5}{2}

30 (p^{2} - 1) = 11 p

2 x^{2} = 10 x - 25

x^{2} - (k + 2) x + k + 1 = 0

x^{2} - 5 = 3 x

(x - 13)^{2} = 400

What are the solutions to the equation 35-6x=8x^2 ?
The solutions to the equation 35-6x=8x^2 are x= 7/4 ,x=-5/2
Find the zeros of 35-6x=8x^2
The zeros of 35-6x=8x^2 are x= 7/4 ,x=-5/2