Answer:
+6, -6
Step-by-step explanation:
Solving quadratic equations:
General form: ax² + bx + c = 0
a) Writing in the equation in general form:
5x² = 180
5x² - 180 = 0
5x² + 0x - 180 = 0
a = 5 ; b = 0 & c = -180
b) Discriminant = b² -4ac
= 0 - 4 *5 * (-180)
= 3600 > 0
The equation has two distinct real roots.
c) Quadratic formula:
[tex]\sf \boxed{\bf x = \dfrac{-b \± \sqrt{b^2 - 4ac}}{2a}}[/tex]
[tex]\sf = \dfrac{0 \± \sqrt{3600}}{2*5}\\\\\\=\dfrac{\± 60}{10}\\\\\\= \± 6[/tex]
Solutions: x = +6 , -6
