What are the solutions to the equation solvefor x,w=(x-1)(x+5) ?

The solutions to the equation solvefor x,w=(x-1)(x+5) are x=-2+sqrt(w+9),x=-sqrt(w+9)-2

Find the zeros of solvefor x,w=(x-1)(x+5)

The zeros of solvefor x,w=(x-1)(x+5) are x=-2+sqrt(w+9),x=-sqrt(w+9)-2

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solve for

x, w = (x - 1) (x + 5)

x = - 2 + w + 9, x = - w + 9 - 2

Solution steps

w = (x - 1) (x + 5)

Expand

(x - 1) (x + 5) : x^{2} + 4 x - 5

w = x^{2} + 4 x - 5

Switch sides

x^{2} + 4 x - 5 = w

Move

w

to the left side

x^{2} + 4 x - 5 - w = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 5 - w )}{2 \cdot 1}

Simplify

4^{2} - 4 \cdot 1 \cdot (- 5 - w) : 2 w + 9

x_{1, 2} = \frac{- 4 \pm 2 w + 9}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 4 + 2 w + 9}{2 \cdot 1}, x_{2} = \frac{- 4 - 2 w + 9}{2 \cdot 1}

x = \frac{- 4 + 2 w + 9}{2 \cdot 1} : - 2 + w + 9

x = \frac{- 4 - 2 w + 9}{2 \cdot 1} : - w + 9 - 2

The solutions to the quadratic equation are:

x = - 2 + w + 9, x = - w + 9 - 2

x, (x - 1)^{2} + y^{2} = 0

5 x^{2} - 20 x + 6 = 0

x^{2} - x - 49 = 0

- 2 x^{2} + 44 x - 235

p^{2} + 2 p - 3 = 0

What are the solutions to the equation solvefor x,w=(x-1)(x+5) ?
The solutions to the equation solvefor x,w=(x-1)(x+5) are x=-2+sqrt(w+9),x=-sqrt(w+9)-2
Find the zeros of solvefor x,w=(x-1)(x+5)
The zeros of solvefor x,w=(x-1)(x+5) are x=-2+sqrt(w+9),x=-sqrt(w+9)-2