Solve the Quadratic Equation: x² - 16 = x + 4 Step-by-Step

Solve the following equation:

x2−16=x+4 x^2-16=x+4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Use the shortened multiplication formulas
00:15 Break down 16 into 4 squared
00:21 Use the shortened multiplication formulas and build a trinomial
00:28 Divide by the common factor
00:41 Reduce what we can
00:47 Isolate X
00:55 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

x2−16=x+4 x^2-16=x+4

2

Step-by-step solution

Please note that the equation can be arranged differently:

x²-16 = x +4

x² - 4² = x +4

We will first factor a trinomial for the section on the left

(x-4)(x+4) = x+4

We will then divide everything by x+4

(x-4)(x+4) / x+4 = x+4 / x+4

x-4 = 1

x = 5

3

Final Answer

5

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

\( x\cdot x=49 \)

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