How to Solve Math Olympiad Algebraic Simultaneous Equations || Solutions of X and Y Explained

This video teaches and explains how to simplify and solve math Olympiad simultaneous equations using one equation to substitute into the other.
You will learn how to simplify exponential equations and use the general quadratic formula in this tutorial.
#maths #mathematics #algebra #education

[@wes9627]

Divide and conquer. Substitute x=10+z and y=10-z into the second equation: (10+z)(10-z)=44. Rearrange to z^2=100-44=56.
Thus, z=±2√14, x=10+z=10±2√14, and y=10-z=10∓2√14.

[@martian8987]

And I was told we would never use the quadratic formula IRL

[@professor_1o1]

Who told you that 😕??

[@martian8987]

@@professor_1o1 a maths teacher once, long ago. To be fair he was trying to get fired.

[@professor_1o1]

@@martian8987 lol 😂 really! That’s funny

[@DukeofDave]

Root 224 is not an irrational number

[@professor_1o1]

@@DukeofDave thanks for your comment. What’s your understanding of an irrational number?

[@TiloDroid]

@@professor_1o1 sqrt(224)=50.176 which is rational

[@pikasmall]

Square root of 224 is an irrational number.