Question

Which statement about the following equation is true? 3x2 – 8x + 5 = 5x2 The discriminant is less than 0, so there are two real roots. The discriminant is greater than 0, so there are two real roots. The discriminant is less than 0, so there are two complex roots. The discriminant is greater than 0, so there are two complex roots.

Answer 1

D = b²-4ac
= (-8)²-4(-2)(5)
= 64+40
= 104
so D>0

so discriminant is greater than zero, so there are two real roots
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Answer 2

Answer:

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

Step-by-step explanation:

using the fomula y=ax^2+bx+c we can solve for the discriminant using the quadratic formula

x=-b +/- (square root) b^2-4ac/2a

The disciminant in the part under the square root so thats what you solve

b= -8

a= -2

c= 5

then you solve:

(-8)^2 - 4*-2*5

64 - (- 40

104

since the discrimnat is positive there are two real roots