Question

Find the discriminant of (x+5)^2 = 2( 5x-3)

Answer 1

Explanation:

(x+5)^2 = 2( 5x-3)

x^2+25=10x-6

x^2-10x+25+6= 0

x^2-10x+31=0

a=1, b

Answer 2

`\boxed{-124}`

Explanation:

`(x+5)^2 = 2( 5x-3)\\x^2+10x+25=10x-6\\x^2+0x+31=0`

`ax^2 +bx +c=0`

Formula for the discriminant:

`D=b^2-4ac`

`b=0\\a=1\\c=31`

Plug in the values.

`D=0^2-4(1)(31)`

`D=-124`