Quadratic Ways to Solve

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x – 3= 0

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Find the roots
Hint: use your calculator

• a
• c
• b
• d

Find the roots
Hint: Use your calculator

• a
• c
• b
• d

Find the roots/ Solutions

• a
• c
• b
• d

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3
• (x+3)(x+3); x=-3
• (x+4)(x+2); x=-4, -2
• Not factorable

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10
• (x+4)(x+5); x=-5, -4
• (x-4)(x-5); x=4, 5
• Not factorable

Solve by factoring

• A
• B
• C
• D

solve:  
4x²+16x+15=0

• -5/2,-3/2
• (2x+5)(2x+3)
• -10,-6
• 5/2, 3/2