Question

Write the discriminant of the quadratic equation ( x + 5 )^2 = 2(5x - 3)

Answer 1

here d cannot be possible because here is x square+31 son d is not possible.

Answer 2

Answer:

Discriminant of the quadratic equation is D=-124.

Step-by-step explanation:

Given : The quadratic equation $( x + 5 )^2 = 2(5x - 3)$

To find : Write the discriminant of the quadratic equation ?

Solution :

The quadratic equation,

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

$x^2+2x\times 5+5^2=10x-6$

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

$x^2+31=0$

General form - $ax^2+bx+c=0$

$D=b^2-4ac$  

Equation is $x^2+31= 0$

where, a=1 , b=0, c=31

$D=b^2-4ac$

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

$D=0-124$

$D=-124$

Therefore, Discriminant of the quadratic equation is D=-124.