Find the values of p for which the equation 3x² - px + 5 = 0 has real roots.

Question

KnowledgeBoat · Accepted Answer

For real roots, Discriminant ≥ 0 or, b² - 4ac ≥ 0 The above equation is 3x² - px + 5 = 0 Comparing with ax² + bx + c = we obtain, a = 3 , b = -p , c = 5 Putting values in b² - 4ac ≥ 0 we get, Hence the values of p are .

Mathematics

Find the values of p for which the equation 3x² - px + 5 = 0 has real roots.

Quadratic Equations

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Mathematics

Find the values of p for which the equation 3x2 - px + 5 = 0 has real roots.

Quadratic Equations

Related Questions

Find the value(s) of p for which the quadratic equation 2x2 + 3x + p = 0 has real roots.

Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.

Find two consecutive natural numbers such that the sum of their squares is 61.

Find two consecutive integers such that the sum of their squares is 61.

Find the values of p for which the equation 3x² - px + 5 = 0 has real roots.

Find the value(s) of p for which the quadratic equation 2x² + 3x + p = 0 has real roots.

Find the least positive value of k for which the equation x² + kx + 4 = 0 has real roots.