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# What is y squared minus 4y minus 5?

Updated: 10/23/2022

Wiki User

14y ago

It is a quadratic equation in the form of y2-4y-5 = 0 and will have two solutions:

When factorised:

(y-5)(y+1) = 0

Therefore: y = 5 or y = -1

Wiki User

14y ago

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Q: What is y squared minus 4y minus 5?
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### How do you solve y squared minus 4y is greater than 5?

First, solve for zero y2 - 4y &gt; 5 y2 - 4y - 5 &gt; 0 (y - 5)(y + 1) &gt; 0 So where y = 5 and y = -1, the inequality solves for zero. We know that because the term with the highest power of y has a positive coefficient, that this is a parabola which has a limit in the negative, and is infinite in the positive. That means y is less than negative one or greater than 5. {x | x &lt; -1 OR x &gt; 5, x &isin; &real;}

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### Is it possible to find the inverse equation of y equals x squared plus 5x minus 6?

Perhaps, using the Quadratic Equation...y=x2+5x-6Solve for x:x2+5x+(-6-y)=0Using the Quadratic Equation:x = .5 *(-5 (+-) (25 + (24+4y)).5) = -2.5 (+-) .5*(49+4y).5Substitute y for x, x for y:y = -2.5 (+-) .5*(49+4x).5

### What is 2y squared minus 9y minus 5 factored?

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### What are the points of intersection when the line x -y equals 2 crosses the curve x squared - 4y squared equals 5?

If: x -y = 2 then x^2 = y^2 +4y +4 If: x^2 -4y^2 = 5 then x^2 = 4y^2 +5 So: 4y^2 +5 = y^2 +4y +4 Transposing terms: 3y^2 -4y +1 = 0 Factorizing the above: (3y -1)(y -1) = 0 meaning y = 1/3 or y = 1 Substitution into the original linear equation intersections are at: (7/3, 1/3) and (3, 1)

### What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5 showing work?

If: x -y = 2 then x^2 = (2+y)^2 =&gt; 4+4y+y^2 If: x^2 -4y^2 = 5 then x^2 = 5+4y^2 So: 5+4y^2 = 4+4y+y^2 Transposing terms: 3y^2 -4y +1 = 0 Factorizing the above: (3y-1)(y-1) = 0 meaning y = 1/3 or y = 1 By substitution contacts are made at: (7/3, 1/3) and (3, 1)

### What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5?

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