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

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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