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Anonymous

Nov 26, 2024

Given the trinomial 5×2 − 2x − 3, predict the type of solutions. two rational solutions one rational solution two irrational solutions

Given the trinomial (5x^2 - 2x - 3), determine the nature of its solutions. Do you expect there to be two rational solutions, one rational solution, two irrational solutions, or two complex solutions?

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6 Answers

A
Anonymous

Jan 06, 2025

its 2 rational solutions, use b^2 - 4ac to find the answer
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A
Aileen Trantow

Jan 18, 2025

Option a, two rational solutions.Step-by-step explanation:It is given the trinomial asThis is a quadratic equation in standard form.To find the nature of roots let us analyse the discriminant.Discriminant of the quadratic equation=Since discriminant is a perfect square, we see that the roots will be rational.Hence two rational solutions is the answer.
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Anonymous

Feb 01, 2025

 Two rational solutions.  This is the right answerStep-by-step explanation:
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Anonymous

Jan 30, 2025

The type of solutions is:    Two rational solutions.Step-by-step explanation:The trinomial expression is given by:The solution is the possible values of x where the expression is equal to 0.i.e.On solving the equation using quadratic formula.i.e. any quadratic equation of the form:has the solution of the type:On comparing our equation with the general quadratic equation we have:a=5 , b= -2 and c= -3Hence, the solution is given by:Hence, we get that both the solutions are rational solutions.( Since  a rational number is a number which could be represented in the form of p/q where p belongs to integers and q belongs to natural numbers)
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Anonymous

Jan 15, 2025

The answer is One rational solution proof5x2 - 2x - 3=0, the sum of coefficients is 5-2-3=0, so the equation has exactly two solutions, x=1, and x = -3/5 this last is the one rational solution
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Quadratic Equations Trinomials

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