Question

write the discriminant of the quadratic eqn (x+5)²=2(5x-3)

Answer 1

X square + 25 + 10 x is equal to 10 x minus 6

x square is equal to minus 6 + 25 is equal to 16 X is equal to plus minus root 16 is equal to 4 it's a square minus 16 is equal to zero b is equal to b square minus 4 AC is equal to 1 minus 4 into 16 is equal to - 63

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.