Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
[tex]6x^2 - 31x -30 = 0[/tex]
As we can see that the value of constants are,
a = 6
b = -31
c = 30
[tex]6x^2 - 31x -30 = 0\\\\6x^2 - 36x+5x -30 = 0\\\\6x(x-6)+5(x-6)=0\\\\(6x+5)(x-6)=0[/tex]
Therefore, the factors of the trinomial [tex]6x^2 - 31x -30 = 0[/tex] are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
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