Question

testing version staar
desmos calculator
graph the quadratic below in your staar desmos calculator,
linked in the corner. then, upload a photo or copy/paste a
screenshot to this slide, with your roots marked.
$8x^{2}+10x-3$
note: you will receive 3.5 points for entering the
correct answers into the boxes below.
i will add the remaining 3.5 points if you include a
photo or screenshot of your graph!
then enter your solutions into
numbers, fractions or decimals accepted: $x =$ $quad$ $x =$

Explanation:

Step1: Use quadratic formula

For quadratic $ax^2+bx+c=0$, roots are $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$. Here $a=8$, $b=10$, $c=-3$.

Step2: Calculate discriminant

$\sqrt{b^2-4ac}=\sqrt{10^2-4(8)(-3)}=\sqrt{100+96}=\sqrt{196}=14$

Step3: Compute first root

$x=\frac{-10+14}{2(8)}=\frac{4}{16}=\frac{1}{4}$

Step4: Compute second root

$x=\frac{-10-14}{2(8)}=\frac{-24}{16}=-\frac{3}{2}$

Answer:

$x = \frac{1}{4}$, $x = -\frac{3}{2}$