Question

X^2 - 372x + 3620 = 0

Answer 1

Изи

x^2-10x-362x+3620=0

x(x-10)-362(x-10)=0

(x-10)(x-362)=0

x-10=0

x-362=0

x1=10

x2=362

Answer 2

To solve the quadratic equation x^2 - 372x + 3620 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1, b = -372, and c = 3620. Substituting these values into the quadratic formula, we have:

x = (-(-372) ± √((-372)^2 - 4 * 1 * 3620)) / (2 * 1)

Simplifying further:

x = (372 ± √(138384 + 14480)) / 2 x = (372 ± √(152864)) / 2 x = (372 ± 391.217) / 2

Now we can calculate the two possible solutions for x:

x₁ = (372 + 391.217) / 2 ≈ 381.608 x₂ = (372 - 391.217) / 2 ≈ -19.608

Therefore, the solutions to the quadratic equation x^2 - 372x + 3620 = 0 are approximately x₁ ≈ 381.608 and x₂ ≈ -19.608.