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:
256
Step-by-step explanation:
256 is 16 squared.
225 is 15 and 289 is 17.
Exact form 2981/710
Decimal form 4.19859154...
Mixed Number 4 141/710
Answer:
1.5 hours
Step-by-step explanation:
when norman left and 30 minutes passed he had traveled 20mph
norman. earl
30 min passed. 20mph. 0mph
1 hr passed. 40mph. 30mph
1 hr 30 min. 60mph. 60mph
I hope this helps: first when graphing y=Mx+b always start with ur y-intercept or b so in this case y = -3x + -4 u would go down 4 spaces and right three spaces or till u reach -3 on the second quadrant. For the second one you’ll do (0,0) find the slope with the coordinate given to you.
