About Quadratic Formula:
We previously learned how to solve any quadratic equation using the method known as: completing the square. We can use this process to create a general formula for solving any quadratic equation. This formula is known as the "Quadratic Formula".
Test Objectives
- Demonstrate the ability to write a quadratic equation in standard form
- Demonstrate the ability to identify a, b, and c in a quadratic equation
- Demonstrate the ability to solve a quadratic equation using the quadratic formula
#1:
Instructions: Solve each equation using the quadratic formula.
a) $$2x^2 + 11x + 12=0$$
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#2:
Instructions: Solve each equation using the quadratic formula.
a) $$6n^2 - 10n + 7=0$$
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#3:
Instructions: Solve each equation using the quadratic formula.
a) $$-10x^2 + 6=0$$
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#4:
Instructions: Solve each equation using the quadratic formula.
a) $$7x^2=-11 + 10x + 5x^2$$
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#5:
Instructions: Solve each equation using the quadratic formula.
a) $$-p^2 - 10p - 25=0$$
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Written Solutions:
#1:
Solutions:
a) $$x=-\frac{3}{2}$$ or $$x=-4$$
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#2:
Solutions:
a) no real solution
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#3:
Solutions:
a) $$x=\frac{\pm\sqrt{15}}{5}$$
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#4:
Solutions:
a) $$x=\frac{5 \pm \sqrt{3}}{2}$$
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#5:
Solutions:
a) $$p=-5$$
