Question

Choose the methods of solving quadratic equations
Factoring
Cross Multiplication
Completing the Square
Simplifying
Quadratic Formula
Area Formula
Square Root Method
Guess and Check

Answer 1

there are 4

factoring
completing the square
quadratic formula
square root method (used when there's no b term)

Answer 2

You can use the fact that cross multiplication, simplifying and area formula won't help in general, to solve a quadratic equation. The last option is also rarely going to give you solutions.

The general methods that are used to solve quadratic equations are:

• Option A: Factoring
• Option C: Completing the Squares
• Option E: Quadratic formula
• Option G: Square root method (not used generally, but only when there is square on both side of the equation)

What methods are used for solving quadratic equations?

A quadratic equation is of the type $ax^2 + bx + c = 0$

We can use factor formula to get it in the form $(x-p)(x-q) = 0 \implies x = p, x = q$

Using quadratic formula we get

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Using square root method, if there are squares on both the sides,

$(x-r)^2 = s^2\\\\\text{Taking roots and putting } \pm \text{\:on one side}\\\\x = \pm s + r$

Rest of the options don't give results most of the times generally. The option of Guess and Check rarely works.

Thus,

The general methods that are used to solve quadratic equations are:

• Option A: Factoring
• Option C: Completing the Squares
• Option E: Quadratic formula
• Option G: Square root method (not used generally, but only when there is square on both side of the equation)

Learn more about quadratic equations here:

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