Question

Factorise: y^2-2y-5

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Answer 1

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y2+2y-5=0

Two solutions were found :

y =(-2-√24)/2=-1-√ 6 = -3.449

y =(-2+√24)/2=-1+√ 6 = 1.449

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring y2+2y-5

The first term is, y2 its coefficient is 1 .

The middle term is, +2y its coefficient is 2 .

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 2 .

-5 + 1 = -4

-1 + 5 = 4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1 :

y2 + 2y - 5 = 0

Answer 2

Step-by-step explanation:

Heya!!

Given :-

• y^2-2y-5

To Find :-

• Find the factor

Solution :-

= y^2-2y-5

= y ( y - 2 ) - 5

= ( y - 5 ) ( y - 2 )

Hence the factor is ( y - 5 ) ( y - 2 )

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