Question

Use the discriminant to describe the roots of each equation. Then select the best description. 3x2 - 10 = 0 double root real and rational roots real and irrational roots non-real roots

Answer 1

Answer:

real and irrational roots

Step-by-step explanation:

The discriminant is b^2 -4ac

Where ax^2 +bx+c

a =3 b=0 and c =-10

b^2 -4ac

0^2 -4(3)(-10)

120

Since the discriminate >0, we have 2 real roots

Since 120 is not a perfect square, we will have irrational roots

Answer 2

The 120 is not a perfect square so the roots of the equation are irrational.

Given

The given quadratic equation is;

$\rm 3x^2-10=0$

Discriminate;

Discriminate is helping us to determine the nature of the roots of the quadratic equation.

The discriminant is defined as the;

$\rm Discriminant = b^2-4ac$

From the given equation the value of a = 3, b = 0, and c = -10.

Substitute all the values in the equation

$\rm Discriminant = b^2-4ac\\\\\rm Discriminant = (0)^2-4\times 3\times (-10)\\\\\rm Discriminant = 0-(-120)\\\\\rm Discriminant =0+120\\\\\rm Discriminant = 120$

The value of the discriminant is $\rm D>0$.

Hence, the 120 is not a perfect square so the roots of the equation are irrational.

To know more about Discriminate click the link given below.

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