Find the value of discriminant nbsp- of each of the following equations-i- x2 ndash- 3x - 2 - 0-

Given: x2 ndash; 3x + 2 = 0.On comparing this equation with ax2 + bx + c = 0, we get:a = 1, b = ndash;3 and c = 2We know that the discriminant of a quadra ...

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Standard X

Mathematics

Nature of Roots

Find the valu...

Question

Find the value of discriminant of each of the following equations.
(i) x² – 3x + 2 = 0.

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Solution

Given: x² – 3x + 2 = 0.
On comparing this equation with ax² + bx + c = 0, we get:
a = 1, b = –3 and c = 2
We know that the discriminant of a quadratic equation is Δ = b² – 4ac.
On substituting a = 1, b = –3 and c = 2, we get:
Δ = (–3)² – 4(1)(2)
=> Δ = 9 – 8 = 1

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Find the value of discriminant of each of the following equations. (i) x2 – 3x + 2 = 0.

Given: x2 – 3x + 2 = 0.On comparing this equation with ax2 + bx + c = 0, we get:a = 1, b = –3 and c = 2We know that the discriminant of a quadratic equation is Δ = b2 – 4ac. On substituting a = 1, b = –3 and c = 2, we get:Δ = (–3)2 – 4(1)(2)=> Δ = 9 – 8 = 1

Find the value of discriminant of each of the following equations.
(i) x² – 3x + 2 = 0.

Given: x² – 3x + 2 = 0.
On comparing this equation with ax² + bx + c = 0, we get:
a = 1, b = –3 and c = 2
We know that the discriminant of a quadratic equation is Δ = b² – 4ac.
On substituting a = 1, b = –3 and c = 2, we get:
Δ = (–3)² – 4(1)(2)
=> Δ = 9 – 8 = 1