Solve the equation. x^{2}-14x=0

vousetmoiec

vousetmoiec

Answered question

2021-11-22

Solve the equation.
x214x=0

Answer & Explanation

Befory

Befory

Beginner2021-11-23Added 19 answers

Step 1
Given equation is x214x=0.
To solve the given equation.
Solution:
Solving the given equation.
x214x=0
x(x-14)=0
x=0 or (x-14)=0
x=0 or x=14
Therefore, solution is x={0, 14}.
Step 2
Hence, required solution is x={0,14}.
Gloria Lusk

Gloria Lusk

Beginner2021-11-24Added 18 answers

Step 1: Use the formula for the roots of the quadratic equation
x=b±b24ac2a
In the standard form, determine a, b and c from the original equation and insert them into the formula for the roots of the quadratic equation.
x214x=0
a=1
b=-14
c=0
x=(14)±(14)241021
Step 2: Simplification
x=14±(196410}{21}
x=14±(196+0}{21}
x=14±(196}{21}
x=14±142
Step 3: Divide the equation
x=14+142
x=14142
Step 4: Calculation
x=14
x=0
The solution
x=14
x=0

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