Mathematics: The solutions to a quadratic equation are 6 and 2/3. which quadratic function is related to this equation? y = 2² - 15x + 18 y = 3x² + 16x - 12 y = 3x² - 20x + 12 y = 2x² + 9x - 18

1/2 mileStep-by-step explanation:If you add 1/4 and 1 3/4, you get 2. Then, subtract 2 1/2-2=1/2...

The solutions to a quadratic equation are 6 and

Daisy254

15.01.2022

The quadratic equation for the given roots 6 , $\frac{2}{3}$ is y = 3 x² - 20 x + 12

Step-by-step explanation:

Given as :

The roots of the quadratic equation are 6 , $\frac{2}{3}$

Let The standard quadratic equation

a x² + b x + c = 0

So, the roots are $\alpha$ = 6

And $\beta$ = $\frac{2}{3}$

Sum of roots = $\alpha +\beta$

i.e $\alpha +\beta$ = 6 + $\frac{2}{3}$ = $\frac{20}{3}$

The quadratic equation

y = (x - α) (x - β)

Or, y = (x - 6) (x - $\frac{2}{3}$ )

Or, y = x² - $\frac{2}{3}$ x - 6 x + (6 × $\frac{2}{3}$ )

Or, y = x² - ( $\frac{2}{3}$ + 6) x + 4

Or, y = x² - ( $\frac{2+18}{3}$ ) x + 4

Or, y = x² - $\frac{20}{3}$ x + 4

Or, y = 3 x² - 20 x + 12

Hence, The quadratic equation for the given roots 6 , $\frac{2}{3}$ is y = 3 x² - 20 x + 12 . Answer

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