The Discriminant = b²-4ac
1.
a=2
b= 5
c=-3
The Discriminant is 49
When a, b and c are real numbers, a ≠ 0 and discriminant is positive and perfect square, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are real, rational unequal.
2.
a=-1
b=1
c=1
The Discriminant is 5
When a, b and c are real numbers, a ≠ 0 and discriminant is positive but not a perfect square then the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational and unequal.
3.
a=1
b=6
c=11
The Discriminant is-8
then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and imaginary.
4.
a=9
b=-54
c=81
The Discriminant is 0
the roots α and β of the quadratic equation ax2 + bx + c = 0 are real and equal.
For each 26 miles she needs 1 Gallon
For a distance of 2d , she will need x
Since the distance is proportional to the number of miles I can right:
2d/26 = 1/x or x =2d/26 or x=d/13
<span> x = -3 x = 9<span> x = -9 that is it 3 ways to answer</span></span>
Answer with Step-by-step explanation:
We are given that
Discriminant, D=
When
Then, the function have two real zeroes.
1.
By comparing withe general quadratic equation
We get a=1,b=6,c=8
Using the discriminant formula
Hence, function have two real zeroes.
2.
Hence, the function have no two real number zeroes.
3.
Hence, function have two real zeroes.
4.
Hence, function have two real zeroes.
5.
Hence, the function have no two real number zeroes.
6.
Hence, function have two real zeroes.