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
Answer:
C. t > 40
Step-by-step explanation:
9514 1404 393
Answer:
(5x -8) +96 +(5x +2) +4x +4x = 540
x = 25
Step-by-step explanation:
It usually works to follow directions. The sum of angles is ...
(5x -8) +96 +(5x +2) +4x +4x = 540 . . . . An equation
18x +90 = 540 . . . . . . . . . collect terms
x +5 = 30 . . . . . . . . . divide by 18
x = 25 . . . . . . . . subtract 5
Answer
Simplifying
9x + -7i = 3(3x + -7u)
Reorder the terms:
-7i + 9x = 3(3x + -7u)
Reorder the terms:
-7i + 9x = 3(-7u + 3x)
-7i + 9x = (-7u * 3 + 3x * 3)
-7i + 9x = (-21u + 9x)
Add '-9x' to each side of the equation.
-7i + 9x + -9x = -21u + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i + 0 = -21u + 9x + -9x
-7i = -21u + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i = -21u + 0
-7i = -21u
Solving
-7i = -21u
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Divide each side by '-7'.
i = 3u
Simplifying
i = 3u
