Solve for x: −3|x + 7| = −12
1 answer:
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Justification:
Given:
Split the middle term;
Factor:
QUESTION 3a
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
This implies that, the dimensions of the rectangle are equal;
Using the square root method, we obtain
We discard the negative value.
The side length of this rectangle is
QUESTION 3b
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
This implies that, the dimensions of the rectangle are equal;
Using the square root method, we obtain
We discard the negative value.
The side length of this rectangle is
QUESTION 3c
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
Applying the laws of indices gives;
This implies that;
The side length of this rectangle is
Dont forget that the square is also a rectangle.
To make a square for x²+bx=c, add( 
)²on both side
in this case, b is-3/4, half of b is -3/8, and (-3/8)² is 9/64, so you add 9/64 to both side.
in this case, b is-3/4, half of b is -3/8, and (-3/8)² is 9/64, so you add 9/64 to both side.