2 years ago

What is the nature of the roots of the quadratic equationsbif the value of its discriminant is 0

Mathematics

1 answer:

scoray [572]2 years ago

4 0

If the discriminant is 0, then you'll have exactly one root. This is a double root since the root repeats itself.

Example: y = (x-5)^2 = x^2-10x+25 has a double root at x = 5

You might be interested in

Line 2x-4y-7=0 meets the x axis at point (k,0). Find the value of k

kolbaska11 [484]

K=4
add seven on both sides
2x-4y=7
add 4y on both sides
2x=7+4y
divide 2 on both sides
x=7+4y/2
plug that into original equation
2(7+4y/2)-4y-7=0
7 and 4y cancel out
2(2)=0
4=0

4 0

2 years ago

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 87.

Komok [63]

Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6

6 0

2 years ago

If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the

lana [24]

3x+5=7x-8
4x=13
x=13/4
the answer is 13/4

8 0

2 years ago

What must you invest today to receive an annuity of $4,500 for 10 years compounded at 8% quarterly when all withdrawals will be

OlgaM077 [116]

Answer:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?

Step-by-step explanation:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?

6 0

2 years ago

What is the percentage of 67

Klio2033 [76]

100% of 67 equals 67

7 0

2 years ago