Question

Standard form of the quadratic equation x(x+1)=30

Answer 1

Question :- x(x+1)=30

Answer :-

$= > x(x + 1) = 30$

$= > x {}^{2} + x = 30$

$= > x {}^{2} + x - 30 = 0$

This is the standard form of quadratic equation.

It is in the from of ax²+bx+c=0

Answer 2

Step-by-step explanation:

x^2 - x = 30

Then subtract 30 on each side:

x^2 - x - 30 = 0

Then use the abc formula to find the roots:

x = (-b +/- sqrt (b^2 - 4ac ) / 2a,

where a, b and c are the coefficients of x^2, x and the numeric value, so

a=1, b=-1 and c=-30.

And so You will get:

x = (1 +/-11)/2, since sqrt(121)=11, and

x1 = -10/2 = -5

x2 = 12/2 = 6