Mathematics: Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

Using the quadratic formula to solve 11x2 – 4x =

lilyrockstarmag

10.01.2022

Option a is correct

Step-by-step explanation:

11x² - 4x = 1

Rewriting the equation:

11x² - 4x - 1 = 0

from above equation, a = 11, b = -4, c = -1

As we are asked to solve it with quadratic equation:

$x = \frac{-b +- \sqrt{b^2 - 4ac}}{2a}$

put values of a, b and c

$x = \frac{-(-4) +- \sqrt{(-4)^2 - 4(11)(-1)}}{2(11)}$

$x = \frac{4 +- \sqrt{16 + 44}}{22}$

$x = \frac{4 +- \sqrt{60}}{22}$

$x = \frac{4 +- \sqrt{15*4}}{22}$

$x = \frac{4 +- 2\sqrt{15}}{22}$

taking 2 common above and cutting it with denominator

$x = \frac{2 +- \sqrt{15}}{11}$

$x = \frac{2}{11} +- \frac {\sqrt{15}}{11}$

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kailiesoto52

14.03.2021

see explanation

Step-by-step explanation:

The minimum = 40 ( lowest value )

The maximum = 97 ( largest value )

The median is the middle value of the data, in ascending order

Since there are 11 data values, the median is the sixth value

median = 61

The first quartile is the middle value of the data below the median, the third value

first quartile = 43

The third quartile is the middle value of the data above the median, the sixth value

third quartile = 65

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