Answer:
Step-by-step explanation:
STEPS USING THE QUADRATIC FORMULA
x
2
+5x+3=0
All equations of the form ax
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
This equation is in standard form: ax
+bx+c=0. Substitute 1 for a, 5 for b, and 3 for c in the quadratic formula,
.
x=
−5±
5
−4×3
Square 5.
25−4×3
Multiply −4 times 3.
25−12
Add 25 to −12.
13
Now solve the equation x=
when ± is plus. Add −5 to
≈3.605551275.
−5
when ± is minus. Subtract
≈3.605551275 from −5.
−
The equation is now solved.
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Answers & Comments
Answer:
Step-by-step explanation:
STEPS USING THE QUADRATIC FORMULA
x
2
+5x+3=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x
2
+5x+3=0
This equation is in standard form: ax
2
+bx+c=0. Substitute 1 for a, 5 for b, and 3 for c in the quadratic formula,
2a
−b±
b
2
−4ac
.
x=
2
−5±
5
2
−4×3
Square 5.
x=
2
−5±
25−4×3
Multiply −4 times 3.
x=
2
−5±
25−12
Add 25 to −12.
x=
2
−5±
13
Now solve the equation x=
2
−5±
13
when ± is plus. Add −5 to
13
≈3.605551275.
x=
2
13
−5
Now solve the equation x=
2
−5±
13
when ± is minus. Subtract
13
≈3.605551275 from −5.
x=
2
−
13
−5
The equation is now solved.
x=
2
13
−5
x=
2
−
13
−5