Question

Which of the following are techniques you have learned so far for solving a quadratic equation? (help a girl out)

(check all that apply)

1.) solve by factoring.

2.) solve by forming sums of squares.

3.) solve by substitution.

4.) solve by taking the square root of both sides.

Answer 1

Answer:

solve by forming sums of square

Answer 2

Solving a quadratic equation an easy way is by factorising the equation.

• A quadratic equation is an equation that has an unknown variable "x" and other known variables in the following format - f(x) = ax² + bx + c.
• Here a, b, c are known variables and they are more than 0.

Example of factorization

Let a, b, c be 4, 6, 2

$f(x) = 4 {x}^{2} + 6x + 2$

$f(x) = 4 {x}^{2} + 4x + 2x + 2$

$f(x) = 4x(x + 1) + 2(x + 1)$

$f(x) = (x + 1) (4x + 2)$

either,

$x + 1 = 0$

$x = - 1$

or,

$4x + 2 = 0$

$4x = - 2$

$x = - \frac{1}{2}$

Therefore, two factors of f(x) are either -1 or -1/2.