3x-2=14-x then find 'x'
Answers
Answered by
0
Answer:
x=4
Step-by-step explanation:
I hope it helps you
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Answered by
0
Step-by-step explanation:
Answer
Let y=
x
2
+2x+3
x
2
+14x+9
.
⇒y(x
2
+2x+3)=x
2
+14x+9
⇒(y−1)x
2
+2(y−7)x+3y−9=0
Since, x is real, so discriminant of above equation will be greater than or equal to 0.
D≥0
⇒4(y−7)
2
−4(y−1)(3y−9)≥0
⇒(y−7)
2
−(y−1)(3y−9)≥0
⇒y
2
+49−14y−3(y
2
−4y+3)≥0
⇒−2y
2
−2y+40≥0
⇒y
2
+y−20≤0
⇒y
2
+5y−4y−20≤0
⇒y(y+5)−4(y+5)≤0
⇒(y+5)(y−4)≤0
⇒y∈[−5,4]
So, the maximum value of y is 4 and minimum value of y is -4 I HOPE IT'S HELPFUL YA MARK M BRAINLEST PLZ PLEASE
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