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xz_007 [3.2K]
3 years ago
12

Mattie uses the discriminant to determine the number of zeros the q

Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants

1. if the discriminant is less than 0, then there are no real zeroes

2. if the discriminant is 0, then it has 1 zero

3. if the discriminant is greater than 0, it has 2 zeroes

so given

0=3x^2-7x+4

a=3,b=-7,c=4

thus the discriminant is (-7)^2-4(3)(4)=49-48=1

the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0

Step-by-step explanation:

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░░ ░░░░▄░░░░░░░░░ ▄ ░░░░░░░░▌▒█░░░░░░░░░░░▄▀▒▌ ░░░░░░░░▌▒▒█░░░░░░░░▄▀▒▒▒▐ ░░░░░░░▐▄▀▒▒▀▀▀▀▄▄▄▀▒▒▒▒▒▐ ░░░░░▄▄▀▒░▒▒▒▒▒▒▒▒▒█▒▒▄█▒▐ ░░░▄▀▒▒▒░░░▒▒▒░░░▒▒▒▀██▀▒▌ ░░▐▒▒▒▄▄▒▒▒▒░░░▒▒▒▒▒▒▒▀▄▒▒▌ ░░▌░░▌█▀▒▒▒▒▒▄▀█▄▒▒▒▒▒▒▒█▒▐ ░▐░░░▒▒▒▒▒▒▒▒▌██▀▒▒░░░▒▒▒▀▄▌ ░▌░▒▄██▄▒▒▒▒▒▒▒▒▒░░░░░░▒▒▒▒▌ ▌▒▀▐▄█▄█▌▄░▀▒▒░░░░░░░░░░▒▒▒▐ ▐▒▒▐▀▐▀▒░▄▄▒▄▒▒▒▒▒▒░▒░▒░▒▒▒▒▌ ▐▒▒▒▀▀▄▄▒▒▒▄▒▒▒▒▒▒▒▒░▒░▒░▒▒▐ ░▌▒▒▒▒▒▒▀▀▀▒▒▒▒▒▒░▒░▒░▒░▒▒▒▌ ░▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▒▄▒▒▐ ░░▀▄▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▄▒▒▒▒▌ ░░░░▀▄▒▒▒▒▒▒▒▒▒▒▄▄▄▀▒▒▒▒▄▀ ░░░░░░▀▄▄▄▄▄▄▀▀▀▒▒▒▒▒▄▄—

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