Answer:
If the answer is wrong delete it
Explanation:
STEP 1:
x2 • (4x - 5) • (7x - 13) = 0
STEP 2:
x2 • (4x - 5) • (7x - 13) = 0
STEP 3:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x2 = 0
Solution is x2 = 0
Solving a Single Variable Equation:
3.3 Solve : 4x-5 = 0
Add 5 to both sides of the equation :
4x = 5
Divide both sides of the equation by 4:
x = 5/4 = 1.250
Solving a Single Variable Equation:
3.4 Solve : 7x-13 = 0
Add 13 to both sides of the equation :
7x = 13
Divide both sides of the equation by 7:
x = 13/7 = 1.857
Three solutions were found :
x = 13/7 = 1.857
x = 5/4 = 1.250
x2 = 0