Find the value of p and the roots of the equation 2xsquared - 33x + p = 0
given that one root is ten times the other root.
I dont how to start this question, can someone help me please.
Thanks!
You can use the caret symbol ^ to signify "to the power of". This sign also works in LaTeX
2x^2 - 33x+p=0
Use the quadratic formula
$\displaystyle x = \frac{33\pm \sqrt{1089-8p}}{4}$
Split the $\displaystyle \pm$ sign to see the two roots more clearly.
For the fun of it I will choose the positive root to be bigger than the negative root although either should work
$\displaystyle x_1 = \frac{33+\sqrt{1089-8p}}{4}$
$\displaystyle x_2 = \frac{33-\sqrt{1089-8p}}{4}$
$\displaystyle x_1=10x_2 \: \rightarrow \: \: \frac{33+\sqrt{1089-8p}}{4} = 10 \cdot \frac{33-\sqrt{1089-8p}}{4}$
Solve for p (and the denominator will cancel immediatly)