show that 25x^2 + 20x + 12 has no integral zero

Question

Plz solve it today

Answer 1

25x^2+20x+12=0

quadratik equashun giv roots=-0.4+-0.5656854i  (komplex numbers)

Answer 2

Question: show that 25x^2 + 20x + 12 has no integral zero.

I think that you mean, "the zeros of the function are not real"

Set the expression equal to zero.

25x^2 + 20x + 12 = 0

25x^2 + 20x + 4 + 8 = 0

(5x + 2)^2 + 8 = 0

(5x + 2)^2 = -8

5x + 2 = ± √(-8) = ± √(8)*√(-1) = ± 2√(2).i

5x + 2 = ± 2√(2).i

5x = -2 ± 2√(2).i

x = (-2 ± 2√(2).i)/5

The two solutions (zeros) of the expression are both complex values.

The solutions are: x = (-2 - 2√(2).i)/5, x = (2 + 2√(2).i)/5