What are the solutions to the equation x^2+5x=3x+11 ?

The solutions to the equation x^2+5x=3x+11 are x=-1+2sqrt(3),x=-1-2sqrt(3)

Find the zeros of x^2+5x=3x+11

The zeros of x^2+5x=3x+11 are x=-1+2sqrt(3),x=-1-2sqrt(3)

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x^{2} + 5 x = 3 x + 11

x = - 1 + 23, x = - 1 - 23

Decimal Notation

x = 2.46410 \dots, x = - 4.46410 \dots

Solution steps

x^{2} + 5 x = 3 x + 11

Move

11

to the left side

x^{2} + 5 x - 11 = 3 x

Move

3 x

to the left side

x^{2} + 2 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 11 )}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot (- 11) = 43

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

Separate the solutions

x_{1} = \frac{- 2 + 4 3}{2 \cdot 1}, x_{2} = \frac{- 2 - 4 3}{2 \cdot 1}

x = \frac{- 2 + 4 3}{2 \cdot 1} : - 1 + 23

x = \frac{- 2 - 4 3}{2 \cdot 1} : - 1 - 23

The solutions to the quadratic equation are:

x = - 1 + 23, x = - 1 - 23

(4 x - 1)^{2} = 20 x - 5

a, f = 3 (a + h)^{2} - 7 (a + h) + 2

x, 4 x^{2} + 9 y^{2} - 16 x + 18 y + 61 = 0

m^{2} + 5 m = 2 m^{2}

4 x^{2} - 2 x = 3

What are the solutions to the equation x^2+5x=3x+11 ?
The solutions to the equation x^2+5x=3x+11 are x=-1+2sqrt(3),x=-1-2sqrt(3)
Find the zeros of x^2+5x=3x+11
The zeros of x^2+5x=3x+11 are x=-1+2sqrt(3),x=-1-2sqrt(3)