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

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

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

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

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

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

Decimal Notation

k = - 0.25, k = - 3

Solution steps

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

Move

13 k

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

k_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

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

x^{2} - 13 x - 300 = 0

x^{2} - 55 x = 56

x, f (x + h) = 2 (x + h)^{2} + 5 (x + h) - 3

x^{2} + 0.05 x + 0.0004 = 0

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