The Quadratic Formula: Using short multiplication formulas

Find X

$7=5x^2+8x+(x+4)^2$

$-\frac{4}{3}\pm\frac{\sqrt{10}}{6}$

Find X

$(3x+1)^2+8=12$

$x_1=\frac{1}{3},x_2=-1$

Find X

$7x+1+(2x+3)^2=(4x+2)^2$

$\frac{1\pm\sqrt{33}}{8}$

Solve the following equation:

$\frac{x^3+1}{(x-1)^2}=x+4$

$x=3,\frac{1}{2}$

Solve the following equation:

$-(x+3)^2=4x$

$x_1=-1,x_2=-9$

Solve the following equation:

$(x+2)^2=(2x+3)^2$

$x_1=-1,x_2=-\frac{5}{3}$

Solve the following equation:

$(x-4)^2+3x^2=-16x+12$

$x=-1$

Solve the following equation:

$(x+3)^2+2x^2=18$

$x_1=1,x_2=-3$

Solve the following equation:

$(x-5)^2-5=-12+2x$

$x_1=8,x_2=4$

Solve the following equation:

$(x+3)^2=2x+5$

$x=-2$

Solve the equation

$2x^2-2x=(x+1)^2$

Answers a + b

$\frac{(\frac{1}{x}+\frac{1}{2})^2}{(\frac{1}{x}+\frac{1}{3})^2}=\frac{81}{64}$

Find X

$x=1,-\frac{17}{7}$

Solve the following equation:

$(x-5)^2-5=10+2x$

$x_1=6+\frac{\sqrt{104}}{2},\\x_2=6-\frac{\sqrt{104}}{2}$

Solve the following equation:

$\frac{x^3+1}{(x+1)^2}=x$

$x=\frac{1}{2}$

Solve the following equation:

$\frac{1}{(x+1)^2}+\frac{1}{x+1}=1$

$-\frac{1}{2}[1\pm\sqrt{5}\rbrack$