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:
yellow one
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
First you need to plug in the numbers for each variable.
3(3)+(5+2(8))-12
Now you solve
3(3)+(21)-12
9+21-12
18
I’m literally doing this homework right now lol.
For better understanding think of it this way. There are hundred customers, 60 orders coffee 35 orders pie and 30 does not order pie or coffee.
This means that 70 does order coffee or pie or both. Out of those 70 people 10 will not order coffee and 35 will not order pie. Thus 70-10-35=25 will order both coffee and pie.
P=0.25
