Solving quadratic equationsAQA A-Level Maths: Mind map

Exam questions on Solving quadratic equations

1. The quadratic equation $2x^{2}-5x-12=0$.
   Hence, or otherwise, solve $2(y+1)^2-5(y+1)-12=0$.2 marks
2. The equation $x^{4}-13x^{2}+36=0$.
   Solve the equation.2 marks
3. The equation $x-7\sqrt{x}+10=0$, where $x\geq0$.
   Show that, with $u=\sqrt{x}$, the equation becomes $u^2-7u+10=0$, and hence find the values of $x$.3 marks