Find the roots of quadratic equation with solution
x² + 3x - 28 = 0
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Find the roots of quadratic equation with solution
x² + 3x - 28 = 0
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ANSWER
USE OF THE QUADRATIC FORMULA
-b± √b²-4ac
x= ————————
2a
x² + 3x — 28 = 0
a= 1
b=3
c= -28
-3 ± √3² - 4. 1 (-28)
x= ————————————
2.1
Simplify:
-Evaluate the exponent
-Multiply the numbers
-Add the numbers
-Evaluate the square root
-Multiply the numbers
-3 ± 11
x= ————
2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
-3 + 11
x= —————
2
-3 — 11
x= —————
2
Solve
Rearrange and isolate the variable to find each solution
x=4
x= -7