What are the solutions to the equation 4x^2+3=-13x ?

The solutions to the equation 4x^2+3=-13x are x=-1/4 ,x=-3

Find the zeros of 4x^2+3=-13x

The zeros of 4x^2+3=-13x are x=-1/4 ,x=-3

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4 x^{2} + 3 = - 13 x

x = - \frac{1}{4}, x = - 3

Decimal Notation

x = - 0.25, x = - 3

Solution steps

4 x^{2} + 3 = - 13 x

Move

13 x

to the left side

4 x^{2} + 3 + 13 x = 0

Write in the standard form

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

4 x^{2} + 13 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 4 \cdot 3}{2 \cdot 4}

1 3^{2} - 4 \cdot 4 \cdot 3 = 11

x_{1, 2} = \frac{- 13 \pm 11}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 13 + 11}{2 \cdot 4}, x_{2} = \frac{- 13 - 11}{2 \cdot 4}

x = \frac{- 13 + 11}{2 \cdot 4} : - \frac{1}{4}

x = \frac{- 13 - 11}{2 \cdot 4} : - 3

The solutions to the quadratic equation are:

x = - \frac{1}{4}, x = - 3

(3 x)^{2} - 5 (3 x) - 14 = 0

3000 = - 35 x^{2} + 1250 x - 6500

p^{2} - 1 p = 0

24 x^{2} + 28 x + 4 = 0

20 x^{2} - 5 = 0

What are the solutions to the equation 4x^2+3=-13x ?
The solutions to the equation 4x^2+3=-13x are x=-1/4 ,x=-3
Find the zeros of 4x^2+3=-13x
The zeros of 4x^2+3=-13x are x=-1/4 ,x=-3