Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
Answer:
81y^2+36y+4
Step-by-step explanation:
First: 9y^2= 81y
Next: 2^2= 4
Then: 9y times 2= 18
Last: 18 times 2= 36y
(this : ^2 means squared in case you did not know)
(a+15.25)=x cost of each tree
(a•15)=110 cost of all the shrub
(x•5)= 101.25 cost of all trees
110+101.25= 211.25
equatiin all together
[(a+15.25)×5]+(a×15)=211.25
x=3/2-1/4
8x+2y=12
move the variable to the right side and change the sign.
8x=12-2y
divide both sides of the equation by 8
x=3/2-1/4y
the final solution is
x=3/2-1/4y