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The nature of the roots of the equation x2 – 5x + 7 = 0 is –
- a)No real roots
- b)1 real root
- c)Can't be determined
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The nature of the roots of the equation x2– 5x + 7 = 0 is &ndash...
Given equation is x2-5x+7=0
We have discriminant as b2-4ac=(-5)2-4*1*7= -3
And x =
, Since we do not have any real number which is a root of a negative number, the roots are not real.
We have discriminant as b2-4ac=(-5)2-4*1*7= -3
And x =
, Since we do not have any real number which is a root of a negative number, the roots are not real.Most Upvoted Answer
The nature of the roots of the equation x2– 5x + 7 = 0 is &ndash...
Firstly we have to find Discriminant(D) by the formula... b^2-4ac....Here b=5 ,a=1 and c=7.. So,b^2-4ac=>(5)^2-4(1)(7) =>25-28 => -3... Here D0 then roots are real and distinct... If D
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The nature of the roots of the equation x2– 5x + 7 = 0 is &ndash...
Nature of Roots of the Equation x2 – 5x + 7 = 0
Discriminant
The nature of the roots of a quadratic equation can be determined by calculating the discriminant, which is given by the formula:
Δ = b2 - 4ac
Quadratic Equation Coefficients
For the given equation x2 – 5x + 7 = 0, the coefficients are:
a = 1, b = -5, c = 7
Discriminant Calculation
Plugging these values into the discriminant formula:
Δ = (-5)2 - 4*1*7
Δ = 25 - 28
Δ = -3
Nature of Roots
- If the discriminant is negative (Δ < 0),="" the="" quadratic="" equation="" has="" no="" real="" />
- In this case, since the discriminant Δ is negative (-3), the equation x2 – 5x + 7 = 0 has no real roots.
Therefore, the correct answer is option 'A' - No real roots.
Discriminant
The nature of the roots of a quadratic equation can be determined by calculating the discriminant, which is given by the formula:
Δ = b2 - 4ac
Quadratic Equation Coefficients
For the given equation x2 – 5x + 7 = 0, the coefficients are:
a = 1, b = -5, c = 7
Discriminant Calculation
Plugging these values into the discriminant formula:
Δ = (-5)2 - 4*1*7
Δ = 25 - 28
Δ = -3
Nature of Roots
- If the discriminant is negative (Δ < 0),="" the="" quadratic="" equation="" has="" no="" real="" />
- In this case, since the discriminant Δ is negative (-3), the equation x2 – 5x + 7 = 0 has no real roots.
Therefore, the correct answer is option 'A' - No real roots.
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