solve the following equation 2x^4+x^3-11x^2+x+2
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1
Answer:
This equation can be reduced to a quadratic equation.
∴ 2x
2
+x−11+
x
1
+
x
2
2
=0
⇒2(x
2
+
x
2
1
)+(x+
x
1
)−11=0
Put, x+
x
1
=y
2(y
2
−2)+y−11=0⇒2y
2
+y−15=0
⇒y=−3 and
2
5
⇒x+
x
1
=−3,x+
x
1
=
2
5
⇒x
2
+3x+1=0,2x
2
−5x+2=0
Only second equation has rational roots as
2
1
and 2.
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