Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10

1 answer:

8 0

(2/5)+(3/(5x))=(x+5)/10
nasty fractions, we hates it forever

so

get rid of all those nasty fractions
multiply both sides by 10x
4x+6=x(x+5)
distribute
4x+6=x^2+5x
minus (4x+6) from both sides
0=x^2+x-6
factor
0=(x-2)(x+3)
set each to zero
0=x-2
2=x

0=x+3
-3=x

x=-3 and 2

3rd option is answer

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Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).

Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>

$x^2-12x-45\\$

The factors of $x^2-12x-45\\$ .

<h3 /><h3>Solution</h3>

$x^2-12x-45\\$

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

$x^2-15x+3x-45\\$