If x-3-12- find the value of 4 x 3-2 x 2-8 x-7

We have, It can be simplified as nbsp; On squaring both sides, we get nbsp; The given equation can be rewritten as. Therefore, we have nbsp; H ...

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Elimination Method of Finding Solution of a Pair of Linear Equations

If x=3+12, fi...

Question

If $x = \frac{\sqrt{3} + 1}{2},$ find the value of $4 x^{3} + 2 x^{2} - 8 x + 7$ .

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Solution

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x = \frac{\sqrt{3} + 1}{2},

4 x^{3} + 2 x^{2} - 8 x + 7

x = \frac{\sqrt{3} + 1}{2}

4 x^{3} + 2 x^{2} - 8 x + 7

What must be subtracted from $4 x^{3} - 3 x + 5$ to get $2 x^{2} - 3 x^{3} + 5 x - 2$ ?

4 x^{3} - 3 x + 5

2 x^{2} - 3 x^{3} + 5 x - 2

(2 x)^{2} + 4 (2 x) + 7 = M x^{2} + 8 x + 7

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