Question

x²-x-5 = 0 Factorise by dividing the middle term​

Answer 1

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 1 • -5 = -5

Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -1 .

-5 + 1 = -4

-1 + 5 = 4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer 2

YOUR QUESTION HAS TWO ANSWERS . LETS SOLVE THEM

$x ^{2} - x - 5 = 0$

$x = \frac{ - ( - 1) + \sqrt{( - 1) ^{2} - 4 \times 1 \times ( - 5) } }{2 \times 1}$

$x = \frac{1 + \sqrt{1 + 20} }{2}$

$x = \frac{1 + \sqrt{21} }{2}$

$x = \frac{1 + \sqrt{21} }{2}$

AND

$x = \frac{1 - \sqrt{21} }{2}$

SO YOUR ANSWERS ARE =)

$x = \frac{1 - \sqrt{21} }{2}$

$x = \frac{1 + \sqrt{21} }{2}$

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