Solve |x+ 3|- 1 = (x + 2)^2 by graphing. The solutions are x = and x =
1 answer:
9514 1404 393
Answer:
x = -2, x = -1
Step-by-step explanation:
A graphing calculator solves this nicely, as shown in the attachment.
x = -2, x = -1
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The given equation resolves to two equations.
<u>x+3 < 0</u>
-(x +3) -1 = (x +2)^2
x^2 +5x +7 = 0
Checking the discriminant, we find ...
b^2 -4ac = (5)^2 -4(1)(7) = 25 -28 = -3
There are only complex solutions to this equation.
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<u>x+3 ≥ 0</u>
x +3 -1 = (x +2)^2
(x +2)^2 -(x +2) = 0 . . . .subtract x+2
(x +2)(x +2 -1) = 0 . . . . . factor
Solutions are values of x that make these factors zero.
x +2 = 0 ⇒ x = -2
x +1 = 0 ⇒ x = -1
<em>Domain Check</em>
x +3 = -2 +3 = 1 > 0 . . . . as required.
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To solve this first we need to get are chunk which is already solved for here as
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)