MAT 130 College Algebra Milestone 4 2026 (pdf) | College Algebra | SNHU

Sophia College Algebra
MILESTONE 4 RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales

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, SCORE
UNIT 4 — MILESTONE 4 17/20



17/20  that's 85% RETAKE



 17 questions were answered correctly.
 3 questions were answered incorrectly.



1 
●

Consider the equation .


Find the solutions by using the quadratic formula.



x = -2, x = 1.5
 



x = -1.5, x = 2




x = 1.5, x = 2




x = -2, x = -1.5


, RATIONALE

When we have a quadratic equation, we can find the solutions
by using the quadratic formula. However, be sure that the
equation is set equal to zero. First, subtract 5 from both sides
of the equation.

Now that it is set equal to zero, identify the coefficients a, b,
and c that are found in the standard equation,


In the equation , a = 2, b = 1, and c = -6.

Substitute these values for a, b, and c, into the quadratic
formula.


Plugging the values of a, b, and c into the quadratic formula
produces the solutions to the quadratic equation. Be sure to
perform the operations in the correct order. First, simplify what
is underneath the radical, or .



1 squared equals 1, and 4 times 2 times -6 equals -48. Next,
find the difference between 1 and -48.


1 minus -48 is equal to 49. Next, take the square root of 49.



The square root of 49 is 7. Next, evaluate the denominator by
multiplying 2 and 2.

2 times 2 equals 4. To find the solutions, create two equations
(due to the ).


One equation involves subtraction, while the other equation
involves addition. Next, evaluate the numerator in each
equation.


-1 minus 7 is -8, and -1 plus 7 is 6. To find the solutions, divide