Question

3(x-2)2=147 quadratic equation​

Answer 1

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*(x+2)^2-(147)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

3 • (x + 2)2 - 147 = 0

STEP

2

:

2.1 Evaluate : (x+2)2 = x2+4x+4

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

3x2 + 12x - 135 = 3 • (x2 + 4x - 45)

Trying to factor by splitting the middle term

3.2 Factoring x2 + 4x - 45

The first term is, x2 its coefficient is 1 .

The middle term is, +4x its coefficient is 4 .

The last term, "the constant", is -45

Step-1 : Multiply the coefficient of the first term by the constant 1 • -45 = -45

Step-2 : Find two factors of -45 whose sum equals the coefficient of the middle term, which is 4 .

-45 + 1 = -44

-15 + 3 = -12

-9 + 5 = -4

-5 + 9 = 4 That's it

Ste

Answer 2

hope it will be helpful..