Question

x square +3x -1=0 quadratic formula​

Answer 1

Answer:

Given equation is

${x}^{2} + 3x - 1 = 0$

we can find its root by 4 methods named splitting the middle term, quadratic formula completing the square and cross multiplication.

But it is compulsory given in the question that we have to find its roots of quadratic formula so,

${x}^{2} + 3x + 1 = 0 \\ using \: quadratic \: formula \\ x = \frac{ - 3 \pm \sqrt{ {3}^{2} - 4 \times 1 \times 1} }{2} \\ \implies x = \frac{ - 3 \pm \sqrt{9 - 4} }{2} \\ \implies \: x = \frac{ - 3 \pm \sqrt{5} }{2}$

So by this we can find two roots by taking negative and positive signs

$x = \frac{ - 3 + \sqrt{5} }{2} \\ or \\ x = \frac{ - 3 - \sqrt{5} }{2}$

These will be the two roads of of the given equation and we find the roots by using quadratic formula As given in question.

Answer 2

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