How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
1 answer:
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Answer:
x =
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x =
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = |
| =
right side = - 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = |
| =
right side = - 5 = -
right side ≠ left sides, hence not a solution
Answer:
Step-by-step explanation:
4x^2+ 12x = 135
D=b²−4ac=122−4(4)(−135)=144+2160=2304=48²