Evaluate the discriminant for the following equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. 5 x squared plus 11 x plus 6 equals 0

The Solutions are distinct and rational

Step-by-step explanation:

Given the general form of a quadratic equation: ax²+bx+c=0

The discriminant D=b²-4ac is used to determine the nature of the roots of the quadratic equation.

There are three cases:

1. If b² - 4ac > 0

The quadratic equation has two real, distinct (different) roots.

2.If b² - 4ac < 0

The quadratic equation has no real roots. i.e. It has complex roots

3. If b² - 4ac = 0

The quadratic equation has two real, identical roots.

Given our equation:

5x²+11x+6=0

a=5, b=11, c=6

The discriminant:

D=b²-4ac=11²-4(5)(6)=1

Since D=1>0, the roots of the equation are real and distinct.

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step-by-step explanation:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: