Question

11. 2x2 -50 = x^2 -1 solve by factoring

Answer 1

(

2

x

2

−

18

)

=

(

x

√

2

+

√

18

)

(

x

√

2

−

√

18

)

=

=

(

x

√

2

+

√

9

⋅

2

)

(

x

√

2

−

√

9

⋅

2

)

=

=

(

x

√

2

+

3

√

2

)

(

x

√

2

−

3

√

2

)

=

=

√

2

(

x

+

3

)

√

2

(

x

−

3

)

=

2

(

x

+

3

)

(

x

−

3

)

Explanation:

Answer 2

I think Its either x=7 or x=−7

Hope this helps! :)

Explanation:

Let's solve your equation step-by-step.

2x2−50=x2−1

Step 1: Subtract x^2 from both sides.

2x2−50−x2=x2−1−x2

x2−50=−1

Step 2: Add 50 to both sides.

x2−50+50=−1+50

x2=49

Step 3: Take square root.

x=±√49

x=7 or x=−7