What are the solutions to the equation 4x^2+11x=3x-10 ?

The solutions to the equation 4x^2+11x=3x-10 are x=-1+isqrt(3/2),x=-1-isqrt(3/2)

Find the zeros of 4x^2+11x=3x-10

The zeros of 4x^2+11x=3x-10 are x=-1+isqrt(3/2),x=-1-isqrt(3/2)

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4 x^{2} + 11 x = 3 x - 10

x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

Solution steps

4 x^{2} + 11 x = 3 x - 10

Move

10

to the left side

4 x^{2} + 11 x + 10 = 3 x

Move

3 x

to the left side

4 x^{2} + 8 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 4 \cdot 10}{2 \cdot 4}

Simplify

8^{2} - 4 \cdot 4 \cdot 10 : 46 i

x_{1, 2} = \frac{- 8 \pm 4 6 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 8 + 4 6 i}{2 \cdot 4}, x_{2} = \frac{- 8 - 4 6 i}{2 \cdot 4}

x = \frac{- 8 + 4 6 i}{2 \cdot 4} : - 1 + i \frac{3}{2}

x = \frac{- 8 - 4 6 i}{2 \cdot 4} : - 1 - i \frac{3}{2}

The solutions to the quadratic equation are:

x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

x^{2} + 10 x = 16

0.169 = 1.5476 x^{2} - 2.238 x + 0.8057

0 = - 0.01 x^{2} + 0.7 x + 6.1

y \frac{y}{5} + 2 = - 8

x^{2} - 4 x + 4 = 64

What are the solutions to the equation 4x^2+11x=3x-10 ?
The solutions to the equation 4x^2+11x=3x-10 are x=-1+isqrt(3/2),x=-1-isqrt(3/2)
Find the zeros of 4x^2+11x=3x-10
The zeros of 4x^2+11x=3x-10 are x=-1+isqrt(3/2),x=-1-isqrt(3/2)