Answer: 56
Step-by-step explanation:
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.
This is the concept of application of geometry; the distance that the ladder should be placed will be given by Pythagorean theorem.
thus;
c^2=a^2+b^2
where, c=hypotenuse, a and b are the legs
hence;
15^2+12^2+b^2
b^2=15^2-12^2
b^2=225-144
b^2=81
getting the square root of both sides;
b=sqrt81
b=9
therefore the ladder should be placed 9 feet from the wall for it to reach 12 feet up the building
Answer:
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