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In Mathematics / High School | 2014-11-22

What is the answer?

[tex]5x(4x+3)=24[/tex]

Asked by megangreen

Answer (3)

Distribute the 5x to both the 4x and the 3 to get 20x^2+15x=24 Move the 24 over to get 20x^2+15x-24=0 This can't be factored so we must use the quadratic formula, (-b+-sqrt(b^2-4ac))/(2a) Plug in to get (-(15)+-sqrt((15)^2-4(20)(-24)))/(2(20)) => (-15+-sqrt(225+1920))/40 => -3/8+-sqrt(2145)/40 Final answer: X=-3/8+sqrt(2145)/40 or x=-3/8-sqrt(2145)/40 Ugly problem. Hope I could help :)

Answered by FirstSineOfMadness | 2024-06-10

math fraction 1-3-5-6 answer pls

Answered by abdijonm1 | 2024-06-10

To solve the equation 5 x ( 4 x + 3 ) = 24 , we first distribute and rearrange it into the standard quadratic form 20 x 2 + 15 x − 24 = 0 . We then apply the quadratic formula to find the solutions for x. The final solutions are given in terms of the square root of 2145.
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Answered by FirstSineOfMadness | 2024-12-26