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Ms. Scarborough solved x? + 6x - 7 by completing the square in the table below. Identify the missing
steps.
Given the equation
x + 6x - 70
Answer 1:
x? + 6x
= 7
Divide the coefficient of the x
term by two, and square it. Add
this both sides of the equation.
Answer 2:
Convert the left-hand side of the
equation to squared form and
simplify the right hand side.
Answer 3:
Answer 4:
x +3 +4
Solve for x
Answer 5:
Answer 1:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.