if r and s are the roots of quadratic equation 2x² - 7x + 3 = 0, find the value of r + s + rs.
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if r and s are the roots of quadratic equation 2x² - 7x + 3 = 0, find the value of r +
if r and s are the roots of quadratic equation 2x² - 7x + 3 = 0, find the value of r + s + rs.
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Answer:
5
Step-by-step explanation:
2x² - 7x + 3 = 0
Step 1: Factor left side of equation.
(2x−1)(x−3)=0
Step 2: Set factors equal to 0.
2x−1=0 or x−3=0
x = 1 /2 or x = 3
r = 1 /2 or s = 3
r + s + rs
(1/2)+(3)+(1/2)(3)
=5
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