Question

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

Answer 1

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Answer 2

Answer:

The discriminant of the given quadratic equation is -124.

Step-by-step explanation:

The given quadratic equation

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

Simplify the given equation.

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

$x^2+31=0$                   .... (1)

The standard form of a quadratic equation is

$ax^2+bx+c=0$           .... (2)

The discriminant of the quadratic equation is

$D=b^2-4ac$

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

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

The discriminant of the given quadratic equation is

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

$D=-124$

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