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The sum and product of the roots of a quadratic equation are...

The sum and product of the roots of a quadratic equation are 47 and 57 respectively. Find its equation.

A.

7x24x5=0

B.

7x24x+5=0

C.

7x2+4x5=0

D.

7x2+4x+5=0

Correct answer is B

Let the roots of the equation be α and β.

α+β=ba=47

αβ=ca=57

a=7,b=4,c=5

Equation: ax2+bx+c=0

= 7x24x+5=0