Answer:
Step-by-step explanation:
Simplifying
6x + -3 = (3x + -2)
Reorder the terms:
-3 + 6x = (3x + -2)
Reorder the terms:
-3 + 6x = (-2 + 3x)
Remove parenthesis around (-2 + 3x)
-3 + 6x = -2 + 3x
Solving
-3 + 6x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = -2 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = -2 + 0
-3 + 3x = -2
Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = -2 + 3
3x = -2 + 3
Combine like terms: -2 + 3 = 1
3x = 1
Divide each side by '3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Answer
so whats the question?
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
