Find the greatest 3 digit perfect square
1 answer:
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Answer:
Step-by-step explanation:
Our equations are
Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is
Where
a= the coefficient of the
b= the coefficient of
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with
Hence we have two real roots for this equation.
Hence we do not have any real root for this quadratic
Hence D>0 and thus we have two real roots for this equation.
Hence we have one real root to this quadratic equation.
Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴ --- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴ -- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.
Let´s distribute 3 into and 4 into
⇒
⇒
Subtract both side by 4x and 3
∴
∴ Peggy was thinking of -7