Given: x2 ndash; 6x + 7 = 0 On comparing this equation with ax2 + bx + c = 0, we get: a = 1, b = ndash;6, c = 7 We know that the discriminant of a quadrat ...

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Standard X

Mathematics

nth Term of an AP

x2-6 x+7=0

Question

x² – 6x + 7 = 0

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Solution

Given: x² – 6x + 7 = 0
On comparing this equation with ax² + bx + c = 0, we get:
a = 1, b = –6, c = 7
We know that the discriminant of a quadratic equation is Δ = b² – 4ac.
On substituting a = 1, b = –6 and c = 7, we get:
Δ = (–6)² – 4(1)(7)
=> Δ = 36 – 28 = 8

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x2 – 6x + 7 = 0

Given: x2 – 6x + 7 = 0 On comparing this equation with ax2 + bx + c = 0, we get: a = 1, b = –6, c = 7 We know that the discriminant of a quadratic equation is Δ = b2 – 4ac. On substituting a = 1, b = –6 and c = 7, we get: Δ = (–6)2 – 4(1)(7) => Δ = 36 – 28 = 8

x² – 6x + 7 = 0

Given: x² – 6x + 7 = 0
On comparing this equation with ax² + bx + c = 0, we get:
a = 1, b = –6, c = 7
We know that the discriminant of a quadratic equation is Δ = b² – 4ac.
On substituting a = 1, b = –6 and c = 7, we get:
Δ = (–6)² – 4(1)(7)
=> Δ = 36 – 28 = 8