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Find the largest integer k such that the equation 5x^2 - kx + 88 = 0 has no real solutions.

 Apr 14, 2022

Best Answer 

 #1
avatar+122 
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Equation

5x^2 - kx + 88 = 0

 

Discriminant

b^2 - 4ac

(-k)^2 - 4(5)(88)

 

Solving

So, we're looking for the greatest k value where (-k)^2 - 4(5)(88) is negative and an integer. 

(-k)^2 - 4(5)(88)

k^2 - 1760 < 0 

k^2 < 1760

k < sqrt(1760)

The largest integer that fufils this is 41. 

 

Answer

Thus, our answer is 41. 

 

I hope this helped. :))))

 

 

-𝕴𝗍z_¥ᥲ_𝕭Ø¥_Ð@®k 𝕻®ØÐ𝕴𝕲¥

😎😎😎

 Apr 15, 2022
 #1
avatar+122 
0
Best Answer

Equation

5x^2 - kx + 88 = 0

 

Discriminant

b^2 - 4ac

(-k)^2 - 4(5)(88)

 

Solving

So, we're looking for the greatest k value where (-k)^2 - 4(5)(88) is negative and an integer. 

(-k)^2 - 4(5)(88)

k^2 - 1760 < 0 

k^2 < 1760

k < sqrt(1760)

The largest integer that fufils this is 41. 

 

Answer

Thus, our answer is 41. 

 

I hope this helped. :))))

 

 

-𝕴𝗍z_¥ᥲ_𝕭Ø¥_Ð@®k 𝕻®ØÐ𝕴𝕲¥

😎😎😎

Kakashi Apr 15, 2022

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