3 years ago

Which of the following correctly completes the square for the equation below? x^2-9x=0

1 answer:

8 0

The answer to this question is choice B. To complete the square, we take the coefficient on the x term, halve it, and then square it. This results in -9/2, and then 81/4. This value of 81/4 is added to both sides, allowing for factorization of the lefthand side of the equation.

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Solve the system using combination method to get a solution (x,y)<br> 4x+7y=10<br> -4x-6y=28

PIT_PIT [208]

$\left \{ {{4x+7y=10} \atop {-4x-6y=28}} \right. \\\\add\ those\ two\ equations\\\\
y=38\\\\
4x+7y=10\ \ \ | subtract\ 7y\\\\
4x=10-7x\ \ \ \ | divide\ by\ 4\\\\
x=\frac{10-7x}{4}=\frac{10-7*38}{4}=\frac{10-266}{4}=\frac{-256}{4}=-64\\\\
solution:\\ \left \{ {{y=38} \atop {x=-64}} \right.$