Question

Which statement about the following equation is true? 3x2 â€"" 8x 5 = 5x2.

Answer 1

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; $\rm 3x^2 - 8x + 5 = 5x^2$

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; $\rm 3x^2-8x+5=5x^2$

Simplify the equation for the roots of the equation,

$\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1$

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

brainly.com/question/10706429