Pls answer fast........
Answers
Answer:
Step-by-step explanation:
Step 1: Add -2x to both sides.
|x2+4x+3|+2x+5+−2x=0+−2x
|x2+4x+3|+5=−2x
Step 2: Add -5 to both sides.
|x2+4x+3|+5+−5=−2x+−5
|x2+4x+3|=−2x−5
Step 3: Solve Absolute Value.
|x2+4x+3|=−2x−5
We know eitherx2+4x+3=−2x−5orx2+4x+3=−(−2x−5)
x2+4x+3=−2x−5(Possibility 1)
x2+4x+3−(−2x−5)=−2x−5−(−2x−5)(Subtract -2x-5 from both sides)
x2+6x+8=0
(x+2)(x+4)=0(Factor left side of equation)
x+2=0 or x+4=0(Set factors equal to 0)
x=−2 or x=−4
x2+4x+3=−(−2x−5)(Possibility 2)
x2+4x+3=2x+5(Simplify both sides of the equation)
x2+4x+3−(2x+5)=2x+5−(2x+5)(Subtract 2x+5 from both sides)
x2+2x−2=0
For this equation: a=1, b=2, c=-2
1x2+2x+−2=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=2, c=-2)
x=
−(2)±√(2)2−4(1)(−2)
2(1)
x=
−2±√12
2
x=−1+√3 or x=−1−√3
Answer:
The answer is a) -4,-1, -root3