SOLUTION: m^2-8m=-14 find value of discriminant describe the number and type of roots find the exact answer using quadratic formula

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Question 674414: m^2-8m=-14
find value of discriminant
describe the number and type of roots
find the exact answer using quadratic formula
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

m%5E2-8m=-14
m%5E2-8m%2B14=0

discriminant=+b%5E2+%26%238722%3B+4ac
discriminant=+%28-8%29%5E2+%26%238722%3B+4%2A1%2A14
discriminant=+64+%26%238722%3B+56
discriminant=+8


the number of roots: 2 roots because we have function of degree 2
the type of roots: both are real roots because discriminant is positive number


the exact answer using quadratic formula:
m=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

m=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29+%5E2-4%2A1%2A14++%29%29%2F%282%2A1%29+

m=+%288+%2B-+sqrt%2864-56++%29%29%2F2+

m=+%288+%2B-+sqrt%288+%29%29%2F2+

m=+%288+%2B-+2.83%29%2F2+

roots:
m=+%288+%2B+2.83%29%2F2+
m=+10.83%2F2+
m=5.415+

and
m=+%288+-2.83%29%2F2+
m=+5.17%2F2+
m=2.585+