Without solving the equation = 0, find its nature of roots.

Question

KnowledgeBoat · Accepted Answer

Comparing equation = 0 with ax2 + bx + c = 0, we get : ⇒ a = , b = 1 and c = D = b2 - 4ac = = 1 - 8 = -7. Since, D 0 Hence, roots of the equation are imaginary.

Marks	No. of students
0-9	5
10-19	9
20-29	16
30-39	22
40-49	26
50-59	18
60-69	11
70-79	6
80-89	4
90-99	3

Mathematics

Without solving the equation = 0, find its nature of roots.

Quadratic Equations

Related Questions

In the given figure, ∠CED = ∠CAB.
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(ii) Find DE.

If M is the mean of six natural numbers x₁, x₂, x₃, x₄, x₅ and x₆. Show that :
(x₁ - M) + (x₂ - M) + (x₃ - M) + (x₄ - M) + (x₅ - M) + (x₆ - M) = 0

Mathematics

Without solving the equation = 0, find its nature of roots.

Quadratic Equations

Related Questions

Use graph (squared paper) to solve this question.(i) Draw the ogive for the following frequency distribution.MarksNo. of students0-9510-19920-291630-392240-492650-591860-691170-79680-89490-993Use your graph to find :(ii) the median(iii) the number of students who secured more than 75% marks.

In the given figure, ∠CED = ∠CAB.(i) Show that :△CED is similar to triangle CAB.(ii) Find DE.

If M is the mean of six natural numbers x1, x2, x3, x4, x5 and x6. Show that :(x1 - M) + (x2 - M) + (x3 - M) + (x4 - M) + (x5 - M) + (x6 - M) = 0

In the given figure, ∠CED = ∠CAB.
(i) Show that :
△CED is similar to triangle CAB.
(ii) Find DE.

If M is the mean of six natural numbers x₁, x₂, x₃, x₄, x₅ and x₆. Show that :
(x₁ - M) + (x₂ - M) + (x₃ - M) + (x₄ - M) + (x₅ - M) + (x₆ - M) = 0