Question

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

Answer 1

Answer:

The discriminant of the given quadratic equation is -124.

Step-by-step explanation:

The given quadratic equation

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

2

=2(5x−3)

Simplify the given equation.

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

2

+10x+25=10x−6

x^2+31=0x

2

+31=0 .... (1)

The standard form of a quadratic equation is

ax^2+bx+c=0ax

2

+bx+c=0 .... (2)

The discriminant of the quadratic equation is

D=b^2-4acD=b

2

−4ac

On comparing (1) and (2), we get

a=1, b=0 and c=31.

The discriminant of the given quadratic equation is

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

2

−4(1)(31)

D=-124D=−124

Thus the discriminant of the given quadratic equation is -124.