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Quadratic Equations

Quadratic equations describe the motion of a baseball after it connects with a bat, and the acceleration of gravity at the Earth's orbit.

Level 2

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 \( x^2-2x+a=0\). What is the other root?

\[\begin{eqnarray} x(y+z)&=&39\\ y(x+z)&=&60\\ z(x+y)&=&63 \\ x^2+y^2+z^2&=& \ ? \end{eqnarray} \]

See Part 2 and Part 3.

What are the solutions to the equation

\[ x^2 = 4 ? \]


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