mmiranda50
What are the approximate solutions of 2x2 − 7x = 3 rounded to the nearest hundredth?
No real solutions
x ≈ −0.77 and x ≈ 7.77
x ≈ −0.39 and x ≈ 3.89
x ≈ −3.89 and x ≈ 0.39
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ucreategames
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Im confused by this problem. 2x2 would make people think you're multiplying 2 by 2. What does the equation really look like?
mmiranda50
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2x^2 - 7x = 3
ucreategames
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Oh ok
Jack1
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factor first:
(2x-1)(x-3)
Jack1
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so either 2x-1=0 or x-3 = 0
Jack1
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so x= 1/2 or x = 3
mmiranda50
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that is not in the choices though
Jack1
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yeah... somethings wrong...
Jack1
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2x^2 - 7x = 3
2x^2 - 7x - 3 = 0
(2x-1)(x-3) ===> this line's wrong
mmiranda50
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so how do i solve it?
Jack1
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y = ax^2 + bx + c
y = 0 at x points of:
Jack1
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\[ \frac{ -b +/-\sqrt{(b ^{2}-4ac} }{ 2a }\]
mmiranda50
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i'm confused
Jack1
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so:
from your equation
a = 2
b = -7
c = -3
sub those numbers into the equation I gave you and you'll get answers for x
Jack1
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\[x = \frac{ 7 - \sqrt{73} }{ 4}\]
Jack1
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\[or x = \frac{ 7 + \sqrt{73} }{ 4}\]
Jack1
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so x = 3.886
and
x = -0.386
mmiranda50
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ok thanks for the help
Jack1
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all good, sorry for the stuff up earlier
mmiranda50
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thats fine