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Does there exist a quadratic equation whose coefficients are irrational but both the roots are rational?
Wiki User
∙ 12y ago
None, if the coefficients of the quadratic are in their lowest form.
Wiki User
∙ 12y ago
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Does transcendental mean it is equal to the ratio of two integers in math?
yes * * * * * No it does not. A transcendental number is not rational. It is irrational but, further than that, it is not the root of any polynomial equation with rational coefficients.
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
What is the solution of rational equations reducible to quadratic equation?
A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
How do you work out 3x squared -10x equals -5?
This is a quadratic expression in x. It cannot be solved because it is an expression: there is no equation to solve. Furthermore, the discriminant for the quadratic = (-10)2 - 4*3*(-5) = 100+60 = 160 which is not a square number. There are, therefore no rational factors. While it would be possible to give irrational factors, factorising a quadratic into linear terms containing irrational numbers is rarely useful.
Is a rational plus an irrational equals a rational?
No. A rational plus an irrational is always an irrational.
Does transcendental mean it is equal to the ratio of two integers in math?
yes * * * * * No it does not. A transcendental number is not rational. It is irrational but, further than that, it is not the root of any polynomial equation with rational coefficients.
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
Pi is transcendental What does this mean?
Real but not a root of an algebraic equation with rational roots coefficients
How do you factor a polynomial with the equation of 6A2 - B 2?
The given polynomial does not have factors with rational coefficients.
What is an algebraic number?
An algebraic number is a complex number which is the root of a polynomial equation with rational coefficients.
Is 4.6 irrational or rational?
4.6 is rational.
Is 10.01 a rational or irrational number?
10.01 is a rational number
Is 37.5 a rational or irrational number?
Rational
What is the solution of rational equations reducible to quadratic equation?
A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
What does transcendental mean in mathematics?
An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.
How do you work out 3x squared -10x equals -5?
This is a quadratic expression in x. It cannot be solved because it is an expression: there is no equation to solve. Furthermore, the discriminant for the quadratic = (-10)2 - 4*3*(-5) = 100+60 = 160 which is not a square number. There are, therefore no rational factors. While it would be possible to give irrational factors, factorising a quadratic into linear terms containing irrational numbers is rarely useful.
Is 34.5 rational or irrational?
is 34.54 and irrational or rational. number
