MATH SOLVE

2 months ago

Q:
# select the two values of x that are roots of this equation 2x^2 + 7x + 6=0 A. X=-3B. X=-3/2C. X=-4D. X=-2

Accepted Solution

A:

Answer: x = -2 or x = -3/2 thus B. & D. are the answer Step-by-step explanation:Solve for x:2 x^2 + 7 x + 6 = 0Hint: | Factor the left hand side.The left hand side factors into a product with two terms:(x + 2) (2 x + 3) = 0Hint: | Find the roots of each term in the product separately.Split into two equations:x + 2 = 0 or 2 x + 3 = 0Hint: | Look at the first equation: Solve for x.Subtract 2 from both sides:x = -2 or 2 x + 3 = 0Hint: | Look at the second equation: Isolate terms with x to the left hand side.Subtract 3 from both sides:x = -2 or 2 x = -3Hint: | Solve for x.Divide both sides by 2:Answer: x = -2 or x = -3/2