X2-6x=16 what is the third term to make LHS complete square?
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Add the 6 to both sides and divide both sides by a (which is 1).
Divide the 5x term by two and then square the result. You should get(-5/2)^2 =25/4.
Add 25/4 to both sides of the equation.
x^2 + 5x + 25/4 = 6 + 25/4
Factor the left hand side and then simplify the right hand side by finding a common denominator.
(x - 5/2)^2 = 6 * (4/4) +25/4 (we multiply the six by 4/4 because we want it to have a common denominator with the 25/4. 6 = 6/1, 6/1*25/4 = 25(6)/4 = 150/4.)
(x - 5/2)^2 = 150/4
Take the square root of both sides of the equation.
x - 5/2 = sqrt(150/4)
x = +/-[5*sqrt(6)/2] + 5/2
+/- mean “plus or minus in this case”
x = 5/2 +/-[5*sqrt(6)/2]
x = (5 +/- 5*sqrt(6))/2
x = (5/2)*(1 +/- sqrt(6))
Hope this helps.
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Divide the 5x term by two and then square the result. You should get(-5/2)^2 =25/4.
Add 25/4 to both sides of the equation.
x^2 + 5x + 25/4 = 6 + 25/4
Factor the left hand side and then simplify the right hand side by finding a common denominator.
(x - 5/2)^2 = 6 * (4/4) +25/4 (we multiply the six by 4/4 because we want it to have a common denominator with the 25/4. 6 = 6/1, 6/1*25/4 = 25(6)/4 = 150/4.)
(x - 5/2)^2 = 150/4
Take the square root of both sides of the equation.
x - 5/2 = sqrt(150/4)
x = +/-[5*sqrt(6)/2] + 5/2
+/- mean “plus or minus in this case”
x = 5/2 +/-[5*sqrt(6)/2]
x = (5 +/- 5*sqrt(6))/2
x = (5/2)*(1 +/- sqrt(6))
Hope this helps.
Mark me as a Brainliest.
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Answer is 9
Third term = 9
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