What are the solutions to the equation 8x+3x^2=35 ?

The solutions to the equation 8x+3x^2=35 are x= 7/3 ,x=-5

Find the zeros of 8x+3x^2=35

The zeros of 8x+3x^2=35 are x= 7/3 ,x=-5

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8 x + 3 x^{2} = 35

x = \frac{7}{3}, x = - 5

Decimal Notation

x = 2.33333 \dots, x = - 5

Solution steps

8 x + 3 x^{2} = 35

Move

35

to the left side

8 x + 3 x^{2} - 35 = 0

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 ( - 35 )}{2 \cdot 3}

8^{2} - 4 \cdot 3 (- 35) = 22

x_{1, 2} = \frac{- 8 \pm 22}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 22}{2 \cdot 3}, x_{2} = \frac{- 8 - 22}{2 \cdot 3}

x = \frac{- 8 + 22}{2 \cdot 3} : \frac{7}{3}

x = \frac{- 8 - 22}{2 \cdot 3} : - 5

The solutions to the quadratic equation are:

x = \frac{7}{3}, x = - 5

4 x^{2} + 2 x - 20 = 0

\frac{3}{2 x + 3} < \frac{1}{x - 2}

(3 x^{3})^{3}

x^{2} + 5 x + 36 = 0

3 + 4 x + 5 x = 21

What are the solutions to the equation 8x+3x^2=35 ?
The solutions to the equation 8x+3x^2=35 are x= 7/3 ,x=-5
Find the zeros of 8x+3x^2=35
The zeros of 8x+3x^2=35 are x= 7/3 ,x=-5