Q:

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.−b b2 − 4ac 2aUse the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:4x2 + 6x + 2 = 0

Accepted Solution

A:
Answer:b^2-4ac, the value of the discriminant is 4Step-by-step explanation:The part b^2-4ac called the discriminant will tell you how many solutions a particular equation has, after plugging in the values you can tell how many solutions and what type of solutions that equation has by looking at whether the result is positive and a perfect square, positive, zero, or negative.  If the result is a positive perfect square, there will be two rational solutions; if the result is positive there will be two real zeros; if the result is zero, there is one real zero; if the result is negative, there will be two complex conjugates or imaginary terms.To find the value of the discriminant plug in the values of the equation.6^2-4(4)(2)=4The value of the discriminant in this particular equation is a perfect square, that means that there are two rational solutions.  Put simply, this equation is factorable.4x^2 + 6x + 2 = 0(x+1)(4x+2)=0x=-1 or -1/2