Examples with solutions for Factoring Trinomials: Solving the equation

Exercise #1

Resolve:

3x2+9x162=0 3x^2+9x-162=0

Video Solution

Answer

6,9 6,-9

Exercise #2

Resolve:

x(x27x8)=0 x(x^2-7x-8)=0

Video Solution

Answer

8,1,0 8,-1,0

Exercise #3

Resolve:

(x+1)(x3)(x+7)(7)=0 (x+1)(x-3)(x+7)(-7)=0

Video Solution

Answer

1,3,7,7 -1,3,-7,7

Exercise #4

Solve the equation using the trinomial decomposition:

x28x+15=3(x3) x^2-8x+15=3\cdot(x-3)

Video Solution

Answer

8,3 8,3

Exercise #5

Solve the following equation:

3x2+10x16=2x2+4x \sqrt{3x^2+10x-16}=\sqrt{2x^2+4x}

Video Solution

Answer

8,2 -8,2

Exercise #6

Solve the equation using trinomial decomposition.

(x+6)=x2+6x4 (x+6)=\frac{x^2+6}{x-4}

Video Solution

Answer

15

Exercise #7

4052+40524062+40624052= \sqrt{405^2+405^2\cdot406^2+406^2}-405^2=

Video Solution

Answer

406 406