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

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:

put values of a, b and c

taking 2 common above and cutting it with denominator

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15