The solutions of the equation x^2-6x+4=0 can be written as ± √b, where a and b are prime numbers. Solve x^2-6x+4=0 to find the values of a and b

a = 3, b = 5

Step-by-step explanation:

Given

x² - 6x + 4 = 0 ( subtract 4 from both sides )

x² - 6x = - 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 4 + 9

(x - 3)² = 5 ( take the square root of both sides )

x - 3 = ± ( add 3 to both sides )

x = 3 ± ← in the form a ±

with a = 3 and b = 5

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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