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
If 
has to be a solution of the equation, just plug it in:
![(\pm 15i)^2 + [1] = 0 \iff -225 + [1] = 0 \iff [1] = 225](https://tex.z-dn.net/?f=%20%28%5Cpm%2015i%29%5E2%20%2B%20%5B1%5D%20%3D%200%20%5Ciff%20-225%20%2B%20%5B1%5D%20%3D%200%20%5Ciff%20%5B1%5D%20%3D%20225%20)
So, the solutions of
are 
Step-by-step explanation:
let the 2 numbers be x and y.
x - 8 = y --(1)
5x = 2y - 8 --(2)
sub (1) into (2):
5x = 2(x - 8) - 8
5x = 2x - 24
3x = -24
x = -8
sub x = -8 into (1):
y = -8 - 8 = -16
first number is -8 and second number is -16.
Topic: algebraic equations + simultaneous equation
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Answer:
8/3 is a real, rational number Here's the categories: I. Real : Includes all numbers except square roots of negative numbers and fractions with 0 in their denominator A. Rational : a real number expressible as a ratio of whole numbers, or as a decimal have a continuous repeating trend, like 0.3333333, which is the case in this situation a.
(I'm not sure this is the answer your looking for.. but if it is, yw! :)
