Question

A) 15x? – 14x + 21 = 0;​

Answer 1

Пошаговое объяснение:

x+21=0

x= -21

Жауабы x= - 21

Answer 2

To solve the equation 15x² - 14x + 21 = 0, you can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 15, b = -14, and c = 21. Plug these values into the quadratic formula:

x = (-(-14) ± √((-14)² - 4(15)(21))) / (2(15))

Now, simplify the equation step by step:

x = (14 ± √(196 - 1260)) / 30 x = (14 ± √(-1064)) / 30

Since the discriminant (the value inside the square root) is negative (-1064), this quadratic equation has complex solutions. You can simplify the square root of a negative number as follows:

√(-1064) = √(1064) * i, where i is the imaginary unit (i² = -1).

Now, plug this back into the equation:

x = (14 ± √(1064) * i) / 30

You can simplify this further by factoring out a common factor of 2 from both the numerator and denominator:

x = (7 ± √(1064) * i) / 15

So, the solutions to the quadratic equation 15x² - 14x + 21 = 0 are:

x₁ = (7 + √(1064) * i) / 15 x₂ = (7 - √(1064) * i) / 15

These are complex solutions due to the negative discriminant.