Determine the type and number of solutions of 4x2 − 3x + 1 = 0. a two imaginary solutions b two real solutions c one real solution

Option A

The equation has two imaginary solutions

Solution:

Given that we have to determine the type and number of solutions of given quadratic equation

In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation

In the case of a quadratic equation , the discriminant is

If , then the given quadratic equation has two imaginal roots which are complex conjugates

Given quadratic equation is:

Here a = 4 and b = -3 and c = 1

The discriminant is given as:

Therefore the given equation has two imaginary solutions

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube