Question

X square + 2 X + 5 factorise

Answer 1

Answer:

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Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

−

2

, and

c

=

−

5

into the quadratic formula and solve for

x

.

2

±

√

(

−

2

)

2

−

4

⋅

(

1

⋅

−

5

)

2

⋅

1

Simplify.

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x

=

1

±

√

6

Simplify the expression to solve for the

+

portion of the

±

.

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x

=

1

+

√

6

Simplify the expression to solve for the

−

portion of the

±

.

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x

=

1

−

√

6

The final answer is the combination of both solutions.

x

=

1

+

√

6

,

1

−

√

6

The result can be shown in multiple forms.

Exact Form:

x

=

1

+

√

6

,

1

−

√

6

Decimal Form:

x

=

3.44948974

…

,

−

1.44948974

…