Equations reducible to quadratic form

Ask a Question, Get an Answer!

Type your question here

Hundreds of tutors are online and ready to help you right now!

Type 1

Equations of the form

In such equations, put xⁿ = t then the equation reduces to at² + bt + c = 0.

Solve for t and then obtain the value of x.

Type 2

Equations of the form

In these equations, put m^x = t so that the equation takes the form

Solving for t and then obtain the value of x.

Type 3

Equations of the form

In such equations, multiply by x throughout to obtain the form Ax² + Bx + C = 0.

Now these equations can be solved for x.

Type 4

(x + a)(x + b)(x + c)(x + d) = 0

In such equations, if the sum of any two constants a, b, c, d is equal to

sum of the other two, then such pairs are multiplied and solve them

if a+b = c+d = m then,

Now put x² + mx = t then, (t + ab)(t + cd) + k = 0.

This can be solved for t and then obtain the value of x.

Type 5

Equations of the type

This equation can be solved by squaring both the sides.

This equation is solved by equating both sides, rearranging and squaring again.