Question

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 2x2 + 7x + 3 = 0 Numerical Answers Expected! Answer for Blank 1:

Answer 1

Answer:

Part 1) The square root of b^2-4ac

Part 2) 25

Step-by-step explanation:

Part 1.

In order to determine whether the quadratic equation can be solved by factoring, the square root of b^2-4ac has to be a real number, or else the quadratic can’t be factored. (Not a real number)

Part 2.

Plugging b, a, and c in,

We have 49-24 or 25.

Answer 2

The part of the quadratic formula tells you whether the quadratic equation can be solved by factoring is b2 - 4ac which is the determinant of the equation. in this case, the determinant of 4x2 + 6x + 2 = 0 is 6^2 - 4*4*2 equal to 36 - 32 or equal to 4.