Question

Quadratic equation solution by square roots:

a) Quadratic equations cannot be solved using square roots.
b) Solutions involve taking the square root of the discriminant.
c) Square roots are not applicable in solving quadratic equations.
d) Square roots are used in linear equations but not in quadratic equations.

Answer 1

The solution or roots for any quadratic equation can be calculated using the quadratic formula.

Step-by-step explanation:

The solution or roots for any quadratic equation can be calculated using the following formula:

x = (-b ± √(b² - 4ac))/(2a)

Here, a, b, and c are the coefficients of the quadratic equation in the standard form ax²+bx+c= 0. To solve the equation using square roots, we can calculate the discriminant (b² - 4ac). If the discriminant is positive, there will be two real solutions, if it's zero, there will be one real solution, and if it's negative, there will be no real solutions.