Question

X^2-10x+24​

Answer 1

Объяснение:

x^2-10x+24=(x-4)(x-6)

D=√(-10)^2-4*24=√100-96=√4

D=2

x1=(10-2)/2=4

x2=(10+2)/2=6

Answer 2

To factor the quadratic expression $x^2 - 10x + 24$, we look for two numbers whose sum is -10 (the coefficient of $x$) and whose product is 24 (the constant term).

Let's try different pairs of numbers until we find the correct combination.

The factors of 24 are: 1, 24 2, 12 3, 8 4, 6

We need a combination that adds up to -10. From the list, we see that 2 and 12 fit this criteria.

Therefore, we can rewrite the expression as: $x^2 - 10x + 24 = (x - 2)(x - 12)$

So, the factored form of the quadratic expression is $(x - 2)(x - 12)$.