Write the discriminant of a quadratic equation (x+5)2 =2(5x-3)
Answers
The given question asks for the discriminant, it means the equation can be expressed in the form of ax^2 + bx + c = 0, but the given equation can't be expressed in this form.
From this, I can say that your question needs a correction.
Correct Equation : - ( x + 5 )^2 = 2( 5x - 3 )
Answer:
Required discriminant of the given equation is - 124.
Step-by-step explanation:
Given equation is ( x + 5 )^2 = 2( 5x - 3 ).
From the properties of expansion : -
- ( a + b )^2 = a^2 + b^2 + 2ab
Thus,
= > x^2 + ( 5 )^2 + 2( 5x ) = 2( 5x ) - 2( 3 )
= > x^2 + 25 + 10x = 10x - 6
= > x^2 + 25 + 6 + 10x - 10x = 0
= > x^2 + 31 = 0
= > x^2 + 0x + 31 = 0
On comparing this equation with ax^2 + bx + c = 0, we get a = 1 , b = 0 , c = 31.
We know, discriminant = b^2 - 4ac
Therefore, discriminant of this equation : -
= > ( 0 )^2 - 4( 1 ) ( 31 )
= > 0 - 124
= > - 124
Hence the required discriminant of the given equation is - 124.