Quadratic Equations

Quadratic Equations: Level 2 Challenges


The image above illustrates which identity?

When the square of a certain positive integer is reduced by 38, we get the value 83. What is the integer?

Suppose that 6 is one of the roots of quadratic equation x22x+a=0 x^2-2x+a=0. What is the other root?

x(y+z)=39y(x+z)=60z(x+y)=63x2+y2+z2= ?\begin{aligned} x(y+z)&=&39\\ y(x+z)&=&60\\ z(x+y)&=&63 \\ x^2+y^2+z^2&=& \ ? \end{aligned}

See Part 2 and Part 3.

What are the solutions to the equation

x2=4? x^2 = 4 ?


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