Which is bigger 1/2 or 11/12

Let x^2-mx+24 be a quadratic with roots x_1 and x_2. If x_1 and x_2 are integers, how many different values of m are possible?

iogann1982 [59]

An equation is a statement of equality „=‟ between two expression for particularvalues of the variable. For example5x + 6 = 2, x is the variable (unknown)The equations can be divided into the following two kinds:Conditional Equation:It is an equation in which two algebraic expressions are equal for particularvalue/s of the variable e.g.,a) 2x = 3 is true only for x = 3/2 b) x2 + x – 6 = 0 is true only for x = 2, -3 Note: for simplicity a conditional equation is called an equation.Identity:It is an equation which holds good for all value of the variable e.g;a) (a + b) xax + bx is an identity and its two sides are equal for all values of x. b) (x + 3) (x + 4) x2 + 7x + 12 is also an identity which is true for all values of x.For convenience, the symbol „=‟ shall be used both for equation and identity. 1.2 Degree of an Equation:The degree of an equation is the highest sum of powers of the variables in one of theterm of the equation. For example2x + 5 = 0 1st degree equation in single variable3x + 7y = 8 1st degree equation in two variables2x2 – 7x + 8 = 0 2nd degree equation in single variable2xy – 7x + 3y = 2 2nd degree equation in two variablesx3 – 2x2 + 7x + 4 = 0 3rd degree equation in single variablex2y + xy + x = 2 3rd degree equation in two variables1.3 Polynomial Equation of Degree n:An equation of the formanxn + an-1xn-1 + ---------------- + a3x3 + a2x2 + a1x + a0 = 0--------------(1)Where n is a non-negative integer and an, an-1, -------------, a3, a2, a1, a0 are realconstants, is called polynomial equation of degree n. Note that the degree of theequation in the single variable is the highest power of x which appear in the equation.Thus3x4 + 2x3 + 7 = 0x4 + x3 + x2 + x + 1 = 0 , x4 = 0are all fourth-degree polynomial equations.By the techniques of higher mathematics, it may be shown that nth degree equation ofthe form (1) has exactly n solutions (roots). These roots may be real, complex or amixture of both. Further it may be shown that if such an equation has complex roots,they occur in pairs of conjugates complex numbers. In other words it cannot have anodd number of complex roots.A number of the roots may be equal. Thus all four roots of x4 = 0are equal which are zero, and the four roots of x4 – 2x2 + 1 = 0Comprise two pairs of equal roots (1, 1, -1, -1)

8 0

4 years ago

Which expression means the same as “a number minus 5”?

zzz [600]

Answer:

It's the second option, a-5

6 0

3 years ago

There are 9 students running for 4 openings on the student council. Only students who are running for election can be elected; n

slavikrds [6]

9 students, 4 are selected and order doesn't matter:

Go to the 9th row of the triangle (mind you the first row is 0), the 2nd is 1st row

9th row: 1 9 36 84 126 126 84 36 9 1
Now choose the 4th column (excluding the 1st , you will get 126 :
so 126 is the number of combination requested:

PROOF: ⁹C₄ = 9!/(9-4)! .4! = (9!)/5!.4! = 126

6 0

3 years ago

Brett takes two bus rides in order to get to work. the second bus ride is 3 times as many miles as the first bus. together the t

zaharov [31]

Between 21 and 22, and between 63 and 64. Hope this helps.

8 0

3 years ago

Allison buys 4 markers and a 30-cent pencil box for a total of $2.46. How much does each marker cost? any y'all know how to do t

dlinn [17]

Answer:

54 cents

Step-by-step explanation:

first, subtract the pencil box from the total

2.46- .30= 2.16

that means the 4 markers cost 2.16

just divide by 4

2.16÷4= .54

54 cents per marker

6 0

3 years ago