Question

I forgot how to do these, could somebody explain. 30 points for both

Answer 1

Answer:

11) A

12) B

Step-by-step explanation:

11) 10x² + 1 = 0

Subtract 1 from both sides:

10x² = -1

Divide both sides by 10:

x² = -1/10

Take the square root of both sides:

x = ±√(-1) / √(10)

Remember that the square root of -1 is i:

x = ±i / √(10)

To rationalize the denominator, multiply top and bottom by √10.

x = ±i√(10) / 10

Answer is A.

12) 2v² + 8v + 6 = 0

Divide both sides by 2:

v² + 4v + 3 = 0

Use AC method or quadratic formula to factor:

(v + 1) (v + 3) = 0

Set each expression to 0:

v + 1 = 0 or v + 3 = 0

Solve:

v = -1 or v = -3

Answer is B.