If one solution of the equation x2 + 5x + 6 = 0 quadratic equation is 2, what is the other solution?
A)-3
B)-2
C)2
D)3
E)6

Question

Quizplus · Accepted Answer

This is a quadratic equation. Use the formula if and b are solutions of a quadratic equation then it can be expressed as x2 + (a+b) x + ab = 0 . It is given one solution a = 2,find the other solution. You can write the given equation as
x2 + (2+3)x + 2 *3= 0. Hence b= 3
Key takeaway: The general form of a quadratic equation is x2 + (a+b) x + ab = 0 and can be expressed as product of two terms (x+a)(x+b) = 0, a and b are called two roots or solutions of the equation The values x =a or b satisfy the equation.

If One Solution of the Equation X2 + 5x