Question

If x=1/3-2√2,then find the value of x^3+4x^2-11x+7​

Answer 1

Answer:

Step-by-step explanation:

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x=12−3–√  

Rationalising gives-

x=2+3–√

x−2=3–√

(x−2)2=3–√2

x2−4x+4=3

x2−4x+1=0

Now, in our expression:

x3−2x2−7x+10

=x3−4x2+2x2−7x+10

=x3−4x2+x−x+2x2−7x+10

=x(x2−4x+1)+2x2−8x+10

=x(0)+2(x2−4x+5)

=2(x2−4x+1+4)

=2(0+4)

=8