iv) What is the value of 17x²-(-9x²)
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Answer:
y=
x
2
+2x−7
x
2
+34x−71
yx
2
+2xy−7y=x
2
+34x−71
x
2
(1−y)+2x(17−y)+7y−71=0x∈R
4(17−y)
2
−4(1−y)(7y−71)≥0
4(17
2
+y
2
−34y)−4(−7y
2
−71+78y)≥0
⇒8y
2
−112y+360≥0
⇒y
2
−14y+45≥0
⇒(y−9)(y−5)≥0
y∈(−∞,5)∪(9,∞)
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