What are the solutions to the equation x(x+4)=154 ?

The solutions to the equation x(x+4)=154 are x=-2+sqrt(158),x=-2-sqrt(158)

Find the zeros of x(x+4)=154

The zeros of x(x+4)=154 are x=-2+sqrt(158),x=-2-sqrt(158)

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x (x + 4) = 154

x = - 2 + 158, x = - 2 - 158

Decimal Notation

x = 10.56980 \dots, x = - 14.56980 \dots

Solution steps

x (x + 4) = 154

Expand

x (x + 4) : x^{2} + 4 x

x^{2} + 4 x = 154

Move

154

to the left side

x^{2} + 4 x - 154 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 154 )}{2 \cdot 1}

4^{2} - 4 \cdot 1 \cdot (- 154) = 2158

x_{1, 2} = \frac{- 4 \pm 2 158}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 4 + 2 158}{2 \cdot 1}, x_{2} = \frac{- 4 - 2 158}{2 \cdot 1}

x = \frac{- 4 + 2 158}{2 \cdot 1} : - 2 + 158

x = \frac{- 4 - 2 158}{2 \cdot 1} : - 2 - 158

The solutions to the quadratic equation are:

x = - 2 + 158, x = - 2 - 158

2 x^{2} - 6 = 1336

y (y - 2) = 0

x^{2} - 7 x = - 2 - 5 x

y, x^{2} + y^{2} - 6 x - 8 y + 100 = 0

x^{2} = π

What are the solutions to the equation x(x+4)=154 ?
The solutions to the equation x(x+4)=154 are x=-2+sqrt(158),x=-2-sqrt(158)
Find the zeros of x(x+4)=154
The zeros of x(x+4)=154 are x=-2+sqrt(158),x=-2-sqrt(158)