Solving quadratic equations and systems of linear equations
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Solve: (y - 3/4)^2 = 17/16
Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. 1/x + 1/x+6 = 1/5
A merchant has two kinds of paint. If 9 gal of the inexpensive paint is mixed with 7 gal of the expensive paint, the mixture will be worth $19.70 per gallon. If 3 gal of the inexpensive paint is mixed with 5 gal of the expensive paint, the mixture will be worth $19.825 per gallon. What is the price per gallon of each type of paint?
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Solution Summary
The solution gives detailed steps on solving quadratic equations and solving a system of two linear equations.
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1. Solve: (y - 3/4)^2 = 17/16
Answer: just perform square root on both sides, we get y - 3/4 = ± √17/16 = ± (√17)/4
So y = 3/4 + √17/16 ory = 3/4 - (√17)/4
2. 1/x + 1/x+6 = 1/5
Answer: just multiply ...
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