Use the work shown to find the solutions of the quadratic equation.
x2 – x – StartFraction 3 Over 4 EndFraction = 0
x2 – x = StartFraction 3 Over 4 EndFraction
x2 – x + (StartFraction 1 Over 2 EndFraction) squared = StartFraction 3 Over 4 EndFraction + (StartFraction 1 Over 2 EndFraction) squared
x2 – x + StartFraction 1 Over 4 EndFraction = StartFraction 3 Over 4 EndFraction + StartFraction 1 Over 4 EndFraction
Which is a solution of x2 – x – StartFraction 3 Over 4 EndFraction = 0?

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Solve the following inequalities and show the solution on a number line. 3/4 (2x-7) ≤ 5

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.