If the sum and product of the roots of the quadratic equation ax2 – 5x + c = 0 are both equal to 10, then find the values of a and c.
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Step-by-step explanation:
sum of zeroes=10
-b/a=10
5/a=10
10a=5
a=1/2
product of zeroes=10
c/a=10
c/(1/2)=10
2c=10
c=5
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