Root of Equation

Algebra Level 1

What is the value of α β \alpha \beta ?


The answer is 5.

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6 solutions

Vinay Sipani
May 19, 2014

The answer must be 5. Product of roots=c/a=5 \text{Product of roots=c/a=5}

Thanks, I've updated the answer.

Calvin Lin Staff - 7 years ago

Hah! You must be kidding me! This is by far the most easiest sum I have encountered here on Brilliant. Just use the Vieta's formula to find the product of the roots for the quadratic polynomial.

If roots are α , β \alpha, \beta , then,

\Large \alpha + \beta = \frac{-\text{Coefficient of x}}{\text{Coefficient of x^2}}

and, \Large \alpha. \beta = \frac{\text{Constant term}}{\text{Coefficient of x^2}}

Prasun Biswas - 6 years, 11 months ago

ok..thanks a lot

Kael Deliva - 6 years, 11 months ago

roots of equation are 4,1 so product is 4

Arshad Vains - 6 years, 11 months ago

Log in to reply

roots are 2+i & 2-i (complex roots)

Azeem Anwar - 6 years, 10 months ago
Fares Salem
Jun 12, 2014

after factorization the two roots are (2-i) & (2+i) therefor the product of them is 4-i^2 and since i^2=-1 therefore 4-i^2 = 5

thnaks for your good contribution

Josue Mercado - 6 years, 12 months ago

Thank you!

Dhara Desai - 6 years, 11 months ago
Kyle Chui
Dec 15, 2014

Vieta's Formulas: x1 + x2 = -b/a x1*x2=c/a

Kevin Patel
Jul 16, 2014

The answer is correct, it's -5

Prince Mishra
Jul 8, 2014

multiplication of root is c/a

Prit Shah
Jul 5, 2014

C/A =products of zero Hence ans =5/1

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