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.
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