Answer:
x= 5.55 and 0.45
Explanation:
Quadratic Equation = (-b±√b²-4(a)(c))÷2(a)
Get equation = to 0 by subtracting the 3 on the right side of the = sign
2x² - 12x + 5
Identify the variables
a=2
b=-12
c=5
Put them into the quadratic equation
(-(-12)± √-12² - 4(2)(5))÷2(2)
Simplify
(12 ±√144 - 40)÷4
(12±√104)÷4
Now split into 2 equations (one with addition one with subtraction) because of the ± then continue simplifying
(12 - √104)÷4 (12 + √104)÷4
(12 - 10.198039)/4 (12 + 10.198039)/4
5.54950975 0.45049025
Round
5.55 0.45