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GR9 Q1-L2
GR9 Q1-L3
GR9 Q1-L4
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GR9 Q1-L5
GR9 Q1-L1 > GR9 Q1-L2 > GR9 Q1-L3 > GR9 Q1-L4
6 cards
Cards (11)
Solving
quadratic
equations using the quadratic
formula
1. Identify the values of a, b, and c in the equation
2. Plug the values into the quadratic formula:
x
= (
-b
±
√(b^2
-
4ac
)) / (
2a
)
3. Simplify the result and identify the
two solutions
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Quadratic equation
An equation with a variable raised to the power of 2
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Solving the example quadratic equation
1.
a = 2, b = 3, c = -2
2. Plug into formula:
x = (-3 ± √(3^2 - 4(2)(-2)
)) / (2(2))
3. Simplify:
x = (-3 ± √(9 + 16)
) / 4
4.
x = (-3 ± √25) / 4
5.
x = (-3 ± 5) / 4
6. x = 1/2 or x = -2
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Checking the solution x =
-2
by
plugging
back into the
original
equation
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Solving the new quadratic equation
1. a = 6, b = -17, c = 12
2. Plug into formula: x = (-(-17) ± √((-17)^2 - 4(6)(12))) / (2(6))
3. Simplify: x = (17 ± √(289 - 288)) / 12
4. x = (17 ± 1) / 12
5. x = 18/12 = 3/2 or x = 16/12 = 4/3
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See all 11 cards
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