Ineed will make you brainliest if right +40 points! which statement about the following equation is true? 2x2 – 9x + 2 = –1 a. the discriminant is less than 0, so there are two real roots. b. the discriminant is less than 0, so there are two complex roots. c. the discriminant is greater than 0, so there are two real roots. d. the discriminant is greater than 0, so there are two complex roots.

The standard form of a quadratic equation is ,

ax² + bx + c = 0.

And the formula to find the discriminant is b² - 4ac.

Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,

2x² – 9x + 2+1 = –1 + 1

2x² – 9x + 3 = 0

Next step is to compare the given equation with this equation to get the value of a, b and c.

After comparing the equations we will get a = 2, b = -9 and c = 3.

So, discriminant = b²- 4ac

=( -9)²-4 (2)(3)

= 81 - 24

= 57

So, discriminant of the given equation is 57.

57 is greater than 0 and square root of 57 will result real number.

So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.

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