Question

Solve the quadratic by quadratic formula

7x-10=x squared

Answer 1

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

Answer 2

`x = 2, x = 5`

Explanation:

Hello!

Standard form of a Quadratic:
`ax^2 + bx +c = 0`

We can solve for x by factoring.

First, convert it into standard form:

• 
  `7x - 10 = x^2`
• 
  `0 = x^2 - 7x + 10`

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

• 
  `x^2 - 7x + 10 = 0`
• 
  `x^2 - 5x - 2x + 10 = 0`
• 
  `x(x - 5) - 2(x - 5) = 0`
• 
  `(x - 2)(x - 5) = 0`
• 
  `x = 2, x = 5`

The two solutions for x are 2 and 5.