Solving Quadratics Review

How many solutions are there to the quadratic?

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How many solutions are there to the quadratic?

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How many solutions are there to the Quadratic?

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How many solutions are there to the equation?

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Rewrite the problem using complete the square method.

• $x^2+8x+64=0$

• $\left(x+8\right)^2+64=54$

• $\left(x+4\right)^2-64=4$

• $\left(x+4\right)^2=4$

solve by completing the square

• $\left(x+2\right)^2=2;\ x=\pm2\sqrt{2}$

• $\left(x-2\right)^2=2;\ x=\pm2\sqrt{2}$

• $x=2\pm\sqrt{2}$

• $x=-2\pm\sqrt{2}$

Solve using the quadratic formula

• $x=\frac{-6\pm2\sqrt{2}}{2};\ x=\left(-3+1\sqrt{2},\ -3\ -\ 1\sqrt{2}\right)$

• $=\frac{-6\pm8}{2};\ x=\left(1,\ -7\right)$

• $=\frac{6\pm2\sqrt{2}}{2};\ x=\left(3+1\sqrt{2},\ -3\ -\ 1\sqrt{2}\right)$

• $x=\frac{6\pm8}{2};\ x=\left(7,-1\right)$

Solve using the quadratic Formula.

• $x=\frac{-6\pm6}{6};\ x=\left(0,\ -2\right)$

• $x=\frac{6\pm6}{6};\ x=\left(2,\ 0\right)$

• $x=\frac{6\pm6i}{6};\ x=\left(1+i,\ 1-i\right)$

• $x=\frac{-6\pm6i}{6};\ x=\left(-1+i,\ -1-i\right)$

What are the solutions to the quadratic?

• x=(-4,-4)

• x=(-6,-2)

• No real solutions