AND
Step 5: Solve for the linear
equation(s) set up in step 4.
*Solve the second linear equation
AND
Step 5: Solve for the linear
equation(s) set up in step 4.
*Solve the second linear equation
AND
Step 2: Apply the square
root method.
*Written in the form
*Apply the sq. root method
*There are 2 solutions
*Neg. sq. root of 25 = -5
AND
Step 2: Apply the square
root method.
*Apply the sq. root method
*There are 2 solutions
*Neg. sq. root of 12 = -2 sq. root of 3
*Solve for x
* and x terms are now isolated
*Complete the square by taking 1/2 of b and squaring it
*This creates a PST on the left side of eq.
*Coefficient of term is now 1
*Complete the square by taking 1/2 of b and squaring it
*This creates a PST on the left side of eq.
b, the number in front of x, is 10.
c, the constant, is 25.
Make sure that you keep the sign that is in front of each of these numbers.
Next we will plug it into the quadratic formula. Note that
we are only plugging in numbers, we don't also plug in the variable.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Simplify
b, the number in front of x, is 2.
c, the constant, is 10.
Make sure that you keep the sign that is in front of each of these numbers.
Next we will plug it into the quadratic formula. Note that
we are only plugging in numbers, we don't also plug in the variable.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Simplify
*Square
root of a negative 1 is i
*Quad. eq. in standard form
b, the number in front of x, is -7.
c, the constant, is -20.
Make sure that you keep the sign that is in front of each of these numbers.
Next we will plug it into the quadratic formula. Note that
we are only plugging in numbers, we don't also plug in the variable.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Simplify
b, the number in front of x, is -12.
c, the constant, is 36.
Make sure that you keep the sign that is in front of each of these numbers.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Discriminant
*Quad. eq. in standard form
b, the number in front of x, is -1.
c, the constant, is 0.
Note that since the constant is missing it is understood to be 0.
Make sure that you keep the sign that is in front of each of these numbers.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Discriminant
*Quad. eq. in standard form
b, the number in front of x, is 1.
c, the constant, is 12.
Make sure that you keep the sign that is in front of each of these numbers.
AND
Step 5: Simplify if possible.
*Plug in values found above for a, b, and c
*Discriminant
Last revised on Dec. 16, 2009 by Kim Seward.
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