Algebra Equations Reducible to Quadratic Form | Math Help

Algebra Equations Reducible to Quadratic Form for Math Help is done by factorise mostly. In general, if an equation that is not in quadratic form can be transformed to the form of
$$aX^2+bX+c=0$$
where $$X$$ is an expression in some other variable or pronumeral, then the equation is called an equation of quadratic form. Once recognised as quadratics, then the equation can be solved using usual quadratic solving methods, such as factorise, or quadratic formula. This is where we can give some math help to reduce to quadratics.

Practice Questions of Algebra Equations Reducible to Quadratic Form | Math Help

Question 1

Solve $$x^4 – 13x^2 + 36 = 0$$.

Question 2

Solve $$x^6 + 7x^3 – 8 = 0$$.

Question 3

Solve $$x^4 – 15x^2 – 16 = 0$$.

Question 4

Solve $$1 – 5x^{-2} + 4x^{-4} = 0$$.

Question 5

Solve $$x^{\frac{2}{3}} – x^{\frac{1}{3}} – 6 = 0$$.

Question 6

Solve $$(x+1)(x+3)(x+5)(x+7)+15=0$$.