set up an equation and solve each problem. A room contains 144 chairs. The number of chairs per row is two less than twice the number of rows. Find the number of rows and the number of chairs per row.

Q: 2. V3x-1=-3

A:

Q: Solve each equation. 7y-3 = 50

A: We take ln on both sides

Q: solve each equation. 2a2 + 4a - 5 = 0

A: Quadratic equations are polynomial equation having degree of 2. They are in form ax2+bx+c=0 and have…

Q: Find the solution set of each equation 2x1 + 3x2 = 5

A:

Q: solve each equation. 4x-3 = 16

A: We have to solve the equation: 4x-3=16 Rewriting the equation, 4x-3=16=4×44x-3=42 We know that If…

Q: solve each equation. (4x - 3)2 - 5 = 20

A: Given: 4x-32-5=20

Q: solve each equation. (x - 3)2 = 16

A: Find the value of x by eliminating powers of x.

Q: solve each equation. x2 + 7x - 30 = 0

A: Given, x2+7x-30

Q: Solve each equation. (a) x2 - 5 = 0 (b) (x - 4)2 = 5

A: (a) Use the identity a2-b2=a+ba-b to factorise the equation.

Q: set up an equation and solve each problem. Find two consecutive whole numbers such that the sum of…

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: solve each equation. 3x2 - 46x - 32 = 0

A: The given equation is, 3x2-46x-32=0 To solve the equation, we use the factorization method.

Q: solve each equation. 2x4 + 9x2 + 4 = 0

A: We have to solve the equation: 2x4+9x2+4=0 Solving the equation by factorization of middle term…

Q: solve each equation. 5x4 - 19x2 - 4 = 0

A: Our Aim is to solve the equation given below:-5x4-19x2-4=0 -(i)

Q: solve each equation. 5x4 - 32x2 + 48 = 0

A: Given, 5x4-32x2+48=0

Q: solve each equation. 6x4 - 31x2 + 18 = 0

A: 6x4 - 31x2 + 18 = 0

Q: solve each equation. 6/(x - 4) - 4/(x + 3) = 8/(x - 4)

A: The given expression is 6x-4-4x+3=8x-4

Q: solve each equation. 6x2/3 - 5x1/3 - 6 = 0

A: 6x2/3 - 5x1/3 - 6 = 0

Q: solve each equation. x2 + 12x - x - 12 = 0

A: We have to solve the equation: x2+12x-x-12=0 Solving the give quadratic equation,…

Q: solve each equation. 4x4 - 13x2 + 9 = 0

A: we have to solve the given equation 4x4 - 13x2 + 9 = 0.

Q: set up an equation and solve each problem. Find two consecutive integers whose product is 72.

A: Let the number are x and x+1 xx+1=72⇒x2+x=72⇒x2+x-72=0⇒x-8x+9=0

Q: solve each equation. 4x4 + 11x2 - 45 = 0

A: Given: 4x4+11x2-45=0

Q: solve each equation. 12x3 + 46x2 + 40x = 0

A: Given: 12x3+46x2+40x=0

Q: solve each equation. 4(x - 3) = -20

A: 4x-3=-20

Q: solve each equation. -2 = 3a - 2

A: Given that : The equation  is - 2 = 3a - 2.

Q: solve each equation. |x - 3/4| = 2/3

A:

Q: solve each equation. 5x - 4(x - 6) = -11

A: Given 5x-4x-6=-11 First, we distribute -4 to the parenthesis terms and then combine like terms.…

Q: solve each equation. x2 + 8x - 48 = 0

A: We have to solve a trinomial equation of the form ax2+bx+c ,a=1 . First we have to check the…

Q: solve each equation. 3t3 - 27t2 + 24t = 0

A: The given equation is 3t3 - 27t2 + 24t = 0

Q: solve each equation. 6x4 - 29x2 + 28 = 0

A: A quadratic equation can be solved by following the given below steps: Split the middle term.…

Q: solve each equation. 4t2 - 19t - 30 = 0

A: Given: 4t2-19t-30=0 To Find: To solve the given equation

Q: solve each equation. -6(x - 4) - 10 = -12

A: Given: -6x-4-10=-12 For solving given equation, we simplify it then find value of x

Q: solve each equation. 3n2 + 10n - 8 = 0

A: To Solve 3n2+10n-8=0 3n2+10n-8=03n2+12n-2n-8=03nn+4-2n+4=03n-2n+4=0

Q: 13.-2-V2-а -За-2

A: Definition used-            Solution of equations having variable inside square root-…

Q: solve each equation. 5x - 2 = 2x - 11

A: Solve:        5x-2=2x-11At first we arrange the like term then we will simplify the above equation.

Q: solve each equation. 5x2 = 43x - 24

A: 5x2 = 43x - 24 It can be re-written as  5x2 - 43x + 24 = 0

Q: solve each equation. 6x2 + 7x - 20 = 0

A:

Q: solve each equation. |2x - 3| + 2 = 5

A: The given equation is, 2x-3+2=5 The objective is to find the value of x. Absolute rule:  If x=a,…

Q: Solve each equation. 7) -14 =-7V-3 - v

A:

Q: solve each equation. (3x - 7)/10 = 2/x

A: The equation given is 3x-710=2x. Simplify the equation to find the value of x ,…

Q: solve each equation. |3x - 4| = 14

A: From the given data:

Q: solve each equation. x2 + 5x - 6 = 0

A: Given,          x2+5x-6=0

Q: solve each equation. 20x2 + 41x + 20 = 0

A: we have to solve the equation 20x2 + 41x + 20 = 0.

Q: Solve each equation: (a) x2 = 5 (b) (x - 2)2  = 16

A: To solve given equations: a)x2=5 x2=5 On simplifying further we get: ⇒x2=5⇒x=±5Required solutions…

Q: solve each equation. |4x - 3| = 9

A: the given equation is: 4x-3=9 we have to solve the given equation.

Q: solve each equation. 30w2 - w - 20 = 0

A: Solve the equation 30w2-w-20=0 using middle term splitting. First, split the middle term -w.…

Q: solve each equation. -8(a + 5) = -2(4a - 3)

A: Consider the provided equation, -8a+5=-24a-3 Solve the above equation.

Q: solve each equation. 3x - 4 = -4

A: Given equation, 3x-4=-4

Q: solve each equation. 3w3 - 24w2 + 36w = 0

A: we have to solve the equation :-  3w3-24w2+36w=0

Q: solve each equation. (3x - 4)2 - 25 = 0

A: We have to solve the equation: 3x-42-25=0 Solving this quadratic equation,…

Q: solve each equation. 12x-2 - 17x-1 - 5 = 0

A: To solve the equation,  12x-2 - 17x-1 - 5 = 0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.