# add maths

Given that the quadratic equation is (2m+3)x^2+(4m-2)x-(m+1)=0.Find the value of m,if

•one of the root of the equation is negative

•one of the root of the equation is reciprocal of the other

1. 👍
2. 👎
3. 👁
1. the roots are

x = -[(2m-1)±√(6m^2+m+4)]/(2m+3)

The product of the roots is

-(m+1)/(2m+3)
If that is negative, then
(m+1)>0 and (2m+3)>0, so m > -1
(m+1)<0 and (2m+3)<0, so m < -3/2

If the roots are reciprocals, then
-(m+1) = 2m+3
3m = -4
m = -4/3

1. 👍
2. 👎

## Similar Questions

1. ### ALGEBRA

1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(x - 4) C. (x + 2)(x - 12) D. (x + 12)(x - 2) 2, x^2 - 36 = 0 A. (1 + square root of 3, 1 - square root of 3) B. (-6,6) C. No solution D. None of these 3, Factor

2. ### math

Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the

3. ### algerba

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x +

4. ### Algebra

Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 -

1. ### Algebra

Please Help! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if

2. ### maths

If one of the root of the quadratic equation ax^2 + bx +c =0 is three times the other, show that 3b^2 = 16ac

3. ### math help plsss plsss

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following

4. ### Algebra

Solve the quadratic equation by the square root property (2x - 1)2 = 25

1. ### ALGEBRA

How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?

2. ### math help how do i do this

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following

3. ### Math

The quadratic equation x^2+2x−8=0 can be rewritten as (x+4)(x−2)=0. What is the multiplicity of the root x=−4? A.The multiplicity of the root is 1. B.The multiplicity of the root is 3. C.The multiplicity of the root is 2.

4. ### algebra

1)Write the expression 9n^6+7n^3-6 in quadratic form,if possible A.9(n^3)^3+7n^3-6 B.9(n^2)^3+7(n^2)-6 C.9(n^3)^2+7(n^3)-6 D.not possible I'm thinking C on this one but im not sure 2)solve b^4+2b^2-24=0 A.-2,-square root of