Answer:
(x+2) (x+6)
Step-by-step explanation:
x^2+8x+12
What 2 numbers multiply together to give you 12 and add together to give you 8
2*6 = 12
2+6 = 8
(x+2) (x+6)
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Given expression :
.
We need to apply power property of logs to rewrite it.
According to log rule of exponents:

If we compare given expression with the rule the exponent part is f, base is 6.
Therefore, we need to bring exponent f in front of log.
Therefore,
.
<h3>And correct option is second option

</h3>
Answer:
Step-by-step explanation:
2x squared ^c^