Question

Xsquare - X - 7 = 0
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Answer 1

Solve Using the Quadratic Formula x^2-x-7=0

x

2

−

x

−

7

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

−

1

, and

c

=

−

7

into the quadratic formula and solve for

x

.

1

±

√

(

−

1

)

2

−

4

⋅

(

1

⋅

−

7

)

2

⋅

1

Simplify.

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x

=

1

±

√

29

2

The result can be shown in multiple forms.

Exact Form:

x

=

1

±

√

29

2

Decimal Form:

x

=

3.19258240

…

,

−

2.19258240

…