The two roots of the quadratic equation is 0 and -46.
We have been the quadratic equation which is g2 + 46g .
The general expression of quadratic equation is,
a2x + bx + c = 0
where a and b are coefficients of the variable x and c are the constants.
To find the roots of the variable x we will use the quadratic formula which is given as follows:
x = [-b ± √(b2 – 4ac)]/2a (1)
As the degree of the variable x is two. Thus we will have 2 roots of the quadratic equation.
Now according to the equation given we have,
a =1 , b = 46 and c = 0
Putting the required value in equation (1) we get
x = [-46 ± √(2116 – 0)]/2
x = (-46 ± 46)/2
x = (-46 – 46)/2 and x = (-46 + 46)/2
x = -46 and x= 0
Thus the two roots of the quadratic equation is 0 and -46.
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