The correct order of the tiles containing quadratic equation is
1.) 2x² - 9x + 6 = 0
2.) 2x² - 8x + 5 = 0
3.) 2x² - 9x - 1 = 0
4.) 2x²- 8x - 3 = 0
Given that,
Tiles containing, a quadratic equation which is to be matched with the option given below in the image,
The option given in the image is the zeros of the equation given in the tiles.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
The formula for the zeros of the quadratic equation is
x = [-b ± √{b^2-4ac}] / {2a}
Where b is the coefficient of x and a is the coefficient of x² and c is constant,
when putting each value from the equations of the tiles, an appropriate match will be calculated that matches the options. As
2x² - 9x + 6 = 0
a = 2, b = -9 c = 6
x = [9± {9^2-4*2*6}] / {2*2}
x = {9 ± {81-48}} / {4}
x= [9 ± √{33}]/ {4}
Which matches with option 1
Similarly,
The required order of match can be calculated from the zeros formula, and given as
2.) 2x² - 8x + 5 = 0
3.) 2x² - 9x - 1 = 0
4.) 2x²- 8x - 3 = 0
Learn more about polynomial function here:
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