Find the quadratic equation whose solution set  is 1/2, 5

Solution:

An equation which has a degree equal to 2 is known as a quadratic equation.

Roots of the quadratic equation are given to be 1/2, 5.

The general form of a quadratic equation is given as

ax² + bx + c = 0, where a, b are the coefficients of x² , x and c is a constant.

Since, the zeros are x = 1/2 and x = 5 therefore, the factors are (x - 1/2) and (x - 5)

Thus,

(x - 1/2)(x - 5) = 0

⇒ x² - (1/2)x - 5x + 5/2 = 0

⇒ x² - 11x /2 + 5/2 = 0

⇒ 2x² -11x + 5 = 0

Hence, the quadratic equation with solutions 1/2 and 5 is 2x² - 11x + 5 = 0.

Find the quadratic equation whose solution set  is 1/2, 5

Summary:

The quadratic equation whose solution set is 1/2 and 5 is 2x² - 11x + 5 = 0.