Examples with solutions for Difference of squares: Number of terms

Exercise #1

Solve the following equation:

(x+8)(8x)+4(x3)(x+3)+5(6x2)=0 (x+8)(8-x)+4(x-3)(x+3)+5(6-x^2)=0

Video Solution

Answer

±29 ±\sqrt{29}

Exercise #2

Solve the following equation:

(x7)(x+7)=x2+7x+7 (x-\sqrt{7})(x+\sqrt{7})=x^2+7x+7

Video Solution

Answer

-2

Exercise #3

8(x3)(3+x)=2x2 8(x-\sqrt{3})(\sqrt{3}+x)=2x^2

Video Solution

Answer

±2 \pm2

Exercise #4

Solve the following equation:

3x+7+3x+5x=3(x3)(x+3)+5x 3x+7+3x+5-x=3(x-3)(x+3)+5x

Video Solution

Answer

±13 ±\sqrt{13}

Exercise #5

Solve the following equation:

(x3)(x+3)=(x9)(x+9)+x+5 (x-3)(x+3)=(x-9)(x+9)+x+5

Video Solution

Answer

67

Exercise #6

Solve the following exercise

(156x)(6x+15)+(x3)(x+6)(6x)(3+x)(3x7)(3x+7)=0 (15-6x)(6x+15)+(x-3)(x+6)(6-x)(3+x)-(3x-7)(3x+7)=0

Video Solution

Answer

No solution

Exercise #7

Solve:

161x416+(88x2)(8+8x2)+648x2=(3x+4)(5x2)(3x4)(2+5x)+348 161x^{4}-16+(8-8x^{2})(8+8x^{2})+64-8x^{2}=(3x+4)(5x-2)(3x-4)(2+5x)+348

Video Solution

Answer

±1