Find the solution to the equation below?

Answer

A. x = 3/2

C. x = 1/2

Step by step explanation

The given equation 4x^2 - 8x + 3 = 0

Now we have to factorize the given expression.

Multiply "a" and "c"

Here the value of a = 4 and c = 3

ac = 4*3 = 12

Now we have to find the factors of 12 such that when we add them, we have to get -8.

The right factors are -6 and -2

Using the above factor, we can rewrite the given equation.

4x^2 - 8x + 3 = 0

4x^2 - 2x - 6x + 3 = 0

Now we can find the factors.

2x(2x - 1) - 3(2x - 1) = 0

(2x - 1) (2x - 3 ) = 0

Set the factors equal to zero and find the values of x.

2x -1 = 0             or (2x - 3) = 0

2x = 1                        2x = 3

x = 1/2                        x = 3/2

Therefore, the solutions are

x = 1/2 and x = 3/2

A) x = 3/2, C) x = 1/2

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s