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Tagged: quadratic equation, quadratic equations
What is the discriminant of 9x^{2} + 2 = 10x?
Discriminant of 9x^{2} + 2 = 10x is 28
Solution:
Discriminant of a quadratic equation ax^{2} + bx + c is
=> b^{2} – 4ac
Given equation is 9x^{2} + 2 = 10x
Moving 10x to the left we get
=> 9x^{2} – 10x + 2 = 0
Comparing with general form of equation
=> a = 9, b = -10, c=2;
Substituting into the discriminant formula, we get
=> (-10)^{2} – 4(9)(2)
=> 100 – 72
=> 28
So, the discriminant of 9x^{2} + 2 = 10x is 28