Quadratic Formula

Quadratic Formula

The quadratic formula is a powerful tool for finding the roots of any quadratic equation.

​Determinants (D)

​Quadratic formula canbe used to solve quadratic equations especially if the given quadraticequation is not factorable.

Multiple Choice

Identify a, b and c in the quadratic equation: $$2x^2-3x-5=0$$  

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

Poll

Find the rootsof the quadratic equation $$x^2\ -7x\ =-10$$   using the quadratic formula.

• x = 5 and 2

• x = $$\pm5$$  

• x = $$\pm3$$  

• x = -5 and -2

​Answer:

Multiple Choice

Solve using the Quadratic Formula: $$2x^2+7x-15=0$$  

• $$x=\frac{3}{2}\ and\ \ 5$$  

• $$x\ =\frac{3}{2}\ and\ -5$$   

​Solution:

Multiple Choice

Solve: $$3x^2-5\ =\ 5x\ +1+x^2$$  

• $$x\ =\frac{5\pm\sqrt[]{73}}{4}$$  

• $$x\ =\frac{5+\sqrt[]{73}}{4}$$  

• $$x\ =\frac{5-\sqrt[]{73}}{4}$$  

• $$x\ =\frac{7\pm\sqrt[]{53}}{4}$$  

​Solution:

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Multiple Choice

$$x^2\ +\frac{3}{2}x+\frac{1}{3}=0$$  

• $$\frac{9\pm\sqrt[]{33}}{12}$$  

• $$\frac{-9\pm\sqrt[]{33}}{12}$$  

​Solution:

Multiple Choice

$$\left(x+5\right)\left(x-2\right)=\ x-5$$  

• $$-1\ \pm\sqrt[]{6}$$  

• $$1\pm\sqrt[]{6}$$  

​Solution

Poll

What is your favorite way of solving quadratic equations so far?!

• Factoring

• Square Root Property

• Completing the Square

• Quadratic Formula