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A quadratic equation ax2 + bx + c = 0 has the solutions
x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
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Earn +20 ptsQ: What is the solution of rational equations reducible to quadratic equation?
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What is the solution of rational equations reducible to quadratic?
They are the solutions for the reduced quadratic.
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
Does there exist a quadratic equation whose coefficients are irrational but both the roots are rational?
None, if the coefficients of the quadratic are in their lowest form.
Do all rational equations have a single solution?
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
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