Sum and product of roots of quadratic equation
Problem
Find the sum and product of roots of the quadratic equation x2 - 2x + 5 = 0.
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quadratic equation
Quadratic equation whose roots are reciprocals of the roots of another quadratic equation
Problem
Determine the equation whose roots are the reciprocals of the roots of the equation 3x2 - 13x - 10 = 0.
The student made a mistake in copying the coefficient of x and the constant term
Problem
In a quadratic equation problem, one student made a mistake in copying the coefficient of x and got roots of 3 and -2. Another student made a mistake in copying the constant term and got the roots of 3 and 2. What are the correct roots?
Quadratic Equations in One Variable
Quadratic Equation
Quadratic equation is in the form
$ax^2 + bx + c = 0$
Where
a, b, & c = real-number constants
a & b = numerical coefficient or simply coefficients
a = coefficient of x2
b = coefficient of x
c = constant term or simply constant
a cannot be equal to zero while either b or c can be zero
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