Answer:
The solutions of the equation are [tex] \frac{8+2 \sqrt{65} }{7} [/tex] and [tex] \frac{8-2 \sqrt{65} }{7} [/tex]
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
7x² - 16x - 28 = 0
By comparing:
a = 7
b = -16
c = -28
Now, to get the roots, we will use the quadratic formula shown in the attached image.
Substitute with the values of a, b and c and calculate the corresponding roots.
You will get the roots:
[tex] \frac{8+2 \sqrt{65} }{7} [/tex] and [tex] \frac{8-2 \sqrt{65} }{7} [/tex]
Hope this helps :)
