Respuesta :

kphung76127
0= x^2-7x+10

Factor
(x-5)(x-2)=0

Check
-5-2=-7, -5*-2=10

Use ZPP
x-5=0
x=5

x-2=0
x=2

Final answer: x=2, x=5
chetankachana

Answer:

[tex]x = 2, x = 5[/tex]

Step-by-step explanation:

Hello!

Standard form of a Quadratic:[tex]ax^2 + bx +c = 0[/tex]

We can solve for x by factoring.

First, convert it into standard form:

  • [tex]7x - 10 = x^2[/tex]
  • [tex]0 = x^2 - 7x + 10[/tex]

Now, find two numbers that multiply to 10 and add up to -7. The two numbers are -5 and -2. Expand -7x into -5x and -2x.

Factor by Grouping

  • [tex]x^2 - 7x + 10 = 0[/tex]
  • [tex]x^2 - 5x - 2x + 10 = 0[/tex]
  • [tex]x(x - 5) - 2(x - 5) = 0[/tex]
  • [tex](x - 2)(x - 5) = 0[/tex]
  • [tex]x = 2, x = 5[/tex]

The two solutions for x are 2 and 5.