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Mathematics 7 Online
Nicole:

Directions: http://prntscr.com/l4xw2y Question http://prntscr.com/l4xw5v

Nicole:

@Vocaloid

Vocaloid:

first step is to add 5 to both sides to the equation to get 2x^2 - 3x + 5 = 0 now, identify your a, b, c values using the general form ax^2 + bx + c and then plug a, b, and c into the discriminant b^2 - 4*a*c

Nicole:

a=2 b=3 c=-5

Nicole:

like that?

Vocaloid:

close, you switched the signs on b and c 2x^2 - 3x + 5 = 0 a = 2, b = -3, c = 5

Nicole:

so -3^2-4*2*5

Vocaloid:

yeah just be careful with parentheses (-3)^2 - 4*2*5

Nicole:

http://prntscr.com/l4y1du

Nicole:

how many solutions tho?

Vocaloid:

the discriminant is negative, so zero real number solutions

Nicole:

http://prntscr.com/l4y1w4

Vocaloid:

same logic as last time subtract 12 from both sides to get x^2 - x - 12 = 0 if it's also asking for the discriminant and number of solutions, repeat the same process as before

Nicole:

what would a b or c be? because they are all x

Vocaloid:

remember, if no coefficient is stated it is assumed to be 1 so a would be 1, b would be -1 c is the constant (-12)

Nicole:

is this correct http://prntscr.com/l4y3ww

Vocaloid:

b should be -1 not 1 x^2 - x - 12 = 0, the second coefficient has a negative sign

Vocaloid:

(-1)^2 - 4(1)(-12) = 49 positive discriminant, so two real solutions

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