Question

Discriminant of the quadratic equation 2x2-6x+5=0 will be

Answer 1

D = B'2 - 4ac
D = -6'2-4(2)(5)
= 36 -40
= -4

Answer 2

Answer:

Discriminant of the quadratic equation 2x²-6x+5=0 will be (-4)

Step-by-step explanation:

Given equation is $2 {x}^{2} - 6x + 5 = 0....(1)$

We want to find discriminant of the given quadratic equation.

We know, discriminant of $a {x}^{2} + bx + c = 0$ is ${b}^{2} - 4ac$

For example,

We are taking a quadratic equation ${x}^{2} + 2x + 1 = 0....(2)$

We are comparing the equation with $a {x}^{2} + bx + c = 0$

and get

$a = 1 \\ b = 2 \\ c = 1$

So, discriminant of equation (2) is ${2}^{2} - 4 \times 2 \times 1 = 4 - 8 = - 4$

Now,we are comparing equation (1) with $a {x}^{2} + bx + c = 0$ and get

$a = 2 \\ b = - 6 \\ c = 5$

So, required discriminant of given quadratic equation

$= {( - 6)}^{2} - 4 \times 2 \times 5 \\ = 36 - 40 \\ = - 4$

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