Algebra

Vieta's Formula

Vieta's Formula - Quadratics

         

What is the product of roots of the quadratic equation

2x26x+36=0,2 x^2 - 6 x + 36 = 0,

If the two roots of the quadratic equation x212x2=0x^2-12x-2=0 are α\alpha and β\beta, what is α2+β2\alpha^2+\beta^2?

The difference between the two roots of the quadratic equation x2+Ax+B=0x^2+Ax+B=0 is 1212 and the larger root is 33 times the smaller root. What is the value of A+BA+B?

What are the sum of roots of the quadratic equation

x29x+15=0? x^2 - 9 x + 15 = 0?

Let α\alpha and β\beta be the two roots of the quadratic equation x216x+63=0.x^2-16x+63=0. What is the value of α+β+αβ\alpha+\beta+\alpha\beta?

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