Answer:
(3x - 2)(3x + 2)
Step-by-step explanation:
9x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9x² - 4
= (3x)² - 2²
= (3x - 2)(3x + 2) ← in factored form
= > x² + 7x + 12 = 12
= > x² + ( 4 + 3 )x + 12 = 12
= > x² + 4x + 3x + 12 = 12
= > x( x + 4 ) + 3( x + 4 ) = 12
= > ( x + 4 ) ( x + 3 ) = 12
Percy did correct till this step. But by doing like this, Percy can't get the values of the variable x.
Percy should follow the following steps :
= > x² + 7x + 12 = 12
Add -12 on both sides,
= > x² + 7x + 12 - 12 = 12 - 12
= > x² + 7x = 0
= > x( x + 7 ) = 0
= > ( x = 0 ) or ( x + 7 = 0 )
= > ( x = 0 ) or ( x = - 7 )
Hence, required value(s) of x is 0 or -7
Answer:The integers are -13, -12 and -11.
Step-by-step explanation:
Let the four numbers be n, n+1, n +2, and n+3
Therefore (n )+ (n+1 )+(n+2) + (n +3) = -46
4n + (1 +2+3) = -46
4n + 6= -46
Subtract 6 from both sides to get the value of n
4n +6 - 6= -46 -6
4n = -52
Divide both sides by 4
n = -52/4
n = -13
Therefore, n + 1 = -13 + 1= -12
n + 2= -13 + 2 = -11
The integers are -13, -12 and -11.
I hope this helps, please mark as brainliest.
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The marked angles are <em>alternate interior angles</em>, so are congruent.
8x -4 = 60
8x = 64 . . . . . . . . . . add 4 to both sides
x = 64/8 = 8 . . . . . . divide both sides by 8
The value of x is 8.