Solve each quadratic equation
3x=0.5x^2 and 0=5x^2-2x+6

Equation 1. x = 0, 6

Equation 2. No real solution.

Step-by-step explanation:

Quadratic equations are

3x = 0.5x² and 0 = 5x² - 2x + 6

We have to solve these equations for the value of x.

a). 0.5x² = 3x

Divide the equation by 0.5

x² = 6x

x² - 6x = 0

x(x - 6) = 0

x = 0 or x = 6

b). 5x² - 2x + 6 = 0

We will find the discriminant of the given equation.

= -116

Since the discriminant of this equation is negative, solution of the equation will be imaginary.

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