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
I don't know which form you want but here
Exact form: 5/4
decimal form is: 1.25
mixed number form:
1 1/4
Answer:
557.12527151
Step-by-step explanation:
Answer:
The Hypotenuse is side just opposite to the right angle.
Step-by-step explanation:
By Pythagoras' theorem,
c^2=a^2+b^2
c^2(hypotenuse to be found)= 30^2+ 16^2
<em>c^2=1156
</em>
<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>
<em><u>The square root of 1156 is 34. </u></em>
<h2><em><u>
Thus, c ( hypotenuse) = 34</u></em></h2>
Hope it helped :)
