When x is added to its square, x2, the answer is 12. Find the two possible values of x?
please show the workings also its urgent
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Step-by-step explanation:
Explanation:
x
2
+
x
=
12
→
Subtract 12 from each side
x
2
+
x
−
12
→
This equation is in standard form:
a
x
2
+
b
x
+
c
To solve this, we can graph, use the quadratic formula, or use the "big X" method (I'll use the third)
Think of two numbers that multiply to
c
(in this case, -12) and add up to
a
⋅
b
(in this case, 1):
−
3
and
4
(
x
−
3
)
(
x
+
4
)
=
0
x
−
3
=
0
x
=
3
x
+
4
=
0
x
=
−
4
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