Question

Factorise : x - 7x + 6= 0

Answer 1

Ответ:

х=1

Пошаговое объяснение:

x - 7x + 6= 0

-6х+6=0

-6х=-6

х=-6:(-6)

х=1

Answer 2

To factorize the quadratic equation $x - 7x + 6 = 0$, first, combine like terms:

$x - 7x + 6 = -6x + 6 = 0$

Now, to factorize this quadratic equation, look for two numbers that multiply to the constant term (-6) and add up to the coefficient of the linear term (-6x). In this case, those numbers are -2 and -3 because:

-2 * -3 = 6 -2 + (-3) = -5

Now we can rewrite the equation as:

$-2x - 3x + 6 = 0$

Next, factor by grouping:

$(-2x - 3x) + 6 = 0$

Now, factor out the common factor from the first two terms, which is -x:

$-x(2 + 3) + 6 = 0$

Simplify further:

$-x(5) + 6 = 0$

Now, we have factored the equation as:

$-5x + 6 = 0$

To solve for $x$, we can isolate it:

$-5x = -6$

Now, divide both sides by -5 to solve for $x$:

$x = \frac{-6}{-5}$

Simplify the fraction:

$x = \frac{6}{5}$

So, the solution to the equation $x - 7x + 6 = 0$ is $x = \frac{6}{5}$.