Review question

# Two values of $x$ that differ by $5$ satisfy $x^2 - 12x + k = 0$, what is $k$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5949

## Question

1. The equation $x^3 + ax + b = 0$ is satisfied by the values $x = 1$ and $x = 2$. Find the values of $a$ and $b$; and find also the third value of $x$.

2. The equation $x^2 - 12x + k = 0$ is satisfied by two values of $x$ that differ by $5$. Find these two values of $x$, and the value of $k$.