Question

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

Answer 1

$2x + 10 = 10x - 6 \\ 2x - 10x = - 6 - 10 \\ - 8x = - 4 \\ x = \frac{ - 8}{ - 4 } \\ x = - 2$

Answer 2

Answer:

The discriminant of the given equation is -124.

Step-by-step explanation:

The general form of a quadratic equation is

$ax^2+bx+c=0$                  .... (1)

then discriminant is

$D=b^2-4ac$

The given quadratic equation is

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

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

$x^2+31=0$                     ....(2)

On comparign (1) and (2) we get

a=1, b=0 and c=31

The discriminant of the given equation is

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

$D=-124$

Therefore the discriminant of the given equation is -124.