Question

If x= 1/2-√3 then evaluate x^2-4x+9 class 9 (please full explain).​​

Answer 1

2-4(1/2-root3)+9

=2-2+4root3+9

=4root3+9

Answer 2

Answer: 26+8√3

Step-by-step explanation: x = 1/2-√3 × 2+√3/ 2+√3 = 2+√3 / 4-3 = 2+√3

So, X- 2 = √3

Squaring, we get

X^2 - 4x + 4 = 3

X^2 - 4x + 9 = 8 [ Adding 5 both side]

Now x^3 - 4x^2 + 9x + 10

= X( x^2 - 4x + 9) + 10

= x × 8 + 10 [ Using above result]

= 8x + 10

= 8 ( 2 + √3) + 10

= 26 + 8√3

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