How do you solve x2+3x−14≤14?
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Answer:
Step-by-step explanation:
Answer:
Solve quadratic inequality:
f
(
x
)
=
x
2
+
3
x
−
28
≤
0
Explanation:
First solve f(x) = 0 by the new Transforming Method.
Factor pairs of -28. Roots have different signs
Proceed: (--2, 14)(-4, 7). This sum is 3 = b. Therefor, the 2 real roots are the opposite: x = 4 and x = -7.
Next, plot (-7) and (4) on a number line. The parabola opens upward (a > 0), then, between the 2 x-intercepts,
f
(
x
)
≤
0
.
Answer by closed interval: [-7, 4]
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