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3 years ago

14

Solve the equation using a method other than factoring. Show all your work. x² - 7x + 3 = 0

1 answer:

natka813 [3]3 years ago

5 0

Completing the square

7/2=3.5
3.5^2=12.25
add that to both sides
x<span>²-7x+12.25+3=12.25
factor perfect square
(x-3.5)</span><span>²+3=12.25
minus 3 both sides
(x-3.5)</span><span>²=9.25
square root both sides
x-3.5=+/-√9.25
add 3.5 to both sides
x=3.5+/-√9.25

x=3.5+√9.25 or 3.5-√9.25</span>

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