SOLUTION: Please help me to find the roots of the quadratic equation: w^2+3w-10=0 Thank you.

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Question 251465: Please help me to find the roots of the quadratic equation: w^2+3w-10=0
Thank you.

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
your original equation is:

w^2+3w-10=0

looks like it should factor to be:

(w+5) * (w-2) = 0

multiply (w+5) * (w-2) and you get:

w^2 - 2w + 5w - 10

combine like terms to get:

w^2 + 3w - 10 which is the same as your original equation, confirming that the factors are good.

your equation becomes:

(w+5)*(w-2) = 0

this means that:

either w+5 = 0 or w-2 = 0 or both.

this means that:

w = -5 or w = 2

substitute in your original equation to confirm.

your original equation is:

w^2+3w-10=0

when w = -5, this equation becomes 25 - 15 - 10 = 0

when w = 2, this equation becomes 4 + 6 - 10 = 0

both equations are true confirming the values for x are both good.

your answer is:

the roots of this equation are:

w = -5 and w = 2

a graph of your original equation is shown below confirming graphically that these roots are accurate.