## algebra1 Questions and Answers

### Evaluate the summation (k-1)/k! if k goes from 1 to n.

### Given the roots 6 and 7, determine the quadratic equation?

### Solve the system of equations algebraically x^2+y^2=100 x-y=2

### logarithmsWhat is x if (log2 x)^2+log2 (4x)=4?

### Find all the zeros of the function f(x)=x^2-8x-9

### Solve for x and y x^3-y^3=7 x^2+xy+y^2=7

### Geometric Progression What is the value of x and y if 2, x, y, 16 form a geometric progression ?

### Find the first term and the common difference of the arithmetic sequence if a2-a6+a4=-7 and a8-a7=2a4

### Write the polar form of the complex number z given by z=6-8i.

### What are x and y if 4^(x/y)*4^(y/x)=32 and log 3 (x-y)=1-log 3 (x+y) ?

### Solve for x log2 x + log4 x + log8 x =11/6

### Determine the imaginary part of complex number z if z^2=3+4i .

### square root(x+square root(1-x))+square rootx=1. What is x?

### If the roots of the equation x^3-9x^2+23x-15=0,are in AP,then one of its roots will be (1)3,(2)9,(3)15(4)0

### Solve the equation square root(x^2-5)-square root(x^2-8)=1

### What is the first term of arithmetic sequence if the sum a1+a2+...a13=130? a4,a10,a7 are also consecutive terms of geometric sequence

### Solve the simultaneous equations x^2+y^2=10 , x^4+y^4=82

### Given the fraction E(x)=(x^3-3x-2)/(x^3+1+3x^2+3x). Solve the equation E(x)=square root 3-square root 2.

### Solve the equation 1/2^(x^2-1)=square root(16^x).

### What is the real solution of the system x^2+y^2=16, xy=3 ?

### Determine the numbers a,b if the law of composition x*y=xy+2ax+by is commutative.

### What is the multiplicative inverse of 6-3i?

### Polynomials . Find the polynomial with lowest degree having the following zeros : 2 and 2i .

### Solve the following simultaneous equations. 2x – 3y = 5 , x – 2y = 4

### What is x if x^3-1728=0?

### need to calculate sum of 3 consecutive terms of arithmetic sequence x+4,3x,13x-2

### Find the value of k = ( x^2 - 4 )/ ( 2x -5 ) if the roots of the equation are equal .

### Complex numbers Sum the complex numbers 3+2i+1-5i

### I don't know to find parabola mx^2+2mx+x+m-1. all i know is the extreme of parabola is on the line 9x-3y-3.

### z=? What is the absolute value of z if 3z -9i = 8i + z + 4.

### Determine the equation of the line that passes through the point (-2,4) and it is perpendicular to -2x+4y-1=0.

### Function Determine whether the function f(x)=(2x-5)/(7x+4) has an inverse and , if so , find the inverse.

### What is x if 64x^3+1331=0?

### What are the real solutions of the equation log(x+2) x + logx (x+2)=5/2 ?

### Construct the quadratic that has one root (1/3)+square root (2/3).

### What kind of equation is z^4-3z^2+2=0 ?

### Find the product of roots of quadratic equation if |x1-x2|=1 and x^2=2x-m.

### Square root of x^2-5x+4 is defined for x = ?

### Solve the equation. e^2x - 6e^x + 5 = 0

### What is (f o g)(36) if f(x)=6^x and g(x)=log6 x ?

### Solve the system x+y-14=0 4x-y-11=0

### What is x if log(x+1) (x^2-3x+2)=log(x+1) (x^2-2x), if x+1 is the base of logarithm?

### Solve for x x^(lnx/ln2)=6-8/x^(lnx/ln2)

### Calculate x (fractions equation) 13/20-7/10x=0.5

### Solve the inequality f(x)>-1. f(x)=(x-1)(x+1)/(x+2)(x-2)

### What is the probability that the element from the set {1,2,3,4,5,6} to be the root of the equation 4^(2x-5)=64 ?

### Solve the simultaneous equations y^2=x^2-9 and y= x-1 .

### How to find the intersection point of the lines y=1008-2x and y= -x ?

### Fractions Simplify 4t^2- 16/8/t - 2/6

### Given y=3x/(x^2-9) determine the numbers m and n if y=m/(x-3)+n/(x+3)

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