SOLUTION: the solution of a.) 10x²+21-10=0 b.) 60y²+32y-15=0 c.) 3x²+32x-48=0 d.) 3x²+13x-10=0 e.) 2y²+5y-25=0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: the solution of a.) 10x²+21-10=0 b.) 60y²+32y-15=0 c.) 3x²+32x-48=0 d.) 3x²+13x-10=0 e.) 2y²+5y-25=0      Log On


   

Question 126670: the solution of
a.) 10x²+21-10=0
b.) 60y²+32y-15=0
c.) 3x²+32x-48=0
d.) 3x²+13x-10=0
e.) 2y²+5y-25=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do one of these, and then you can do the rest:

10x%5E2%2B21x-10=0

Use the quadratic formula:


x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-21+%2B-+sqrt%28+21%5E2-4%2A%2810%29%2A%28-10%29+%29%29%2F%282%2A10%29+
x+=+%28-21+%2B-+sqrt%28441%2B400%29%29%2F%2820%29+
x+=+%28-21+%2B-+sqrt%28881%29%29%2F%2820%29+

881 is prime, so this is reduced to lowest terms. The solution set consists of the following two elements:
x%5B1%5D+=+%28-21+%2B+sqrt%28881%29%29%2F%2820%29+
x%5B2%5D+=+%28-21+-+sqrt%28881%29%29%2F%2820%29+