Alg 2

By what amount does the sum of the roots exceed the product of the roots of the equation (x-7)(x+3)=0?

I have no idea what to do!

  1. 👍
  2. 👎
  3. 👁
  1. first get the roots,,
    (x-7)(x+3)=0
    thus equating each term inside the parenthesis to zero,
    x-7=0 and x+3=0
    therefore, x=7 and x=-3
    the roots are 7 and -3
    sum: 7 + (-3) = 4
    product: 7(-3) = -21
    the questions asks for the difference between the sum and product, therefore:
    4 - (-21) = 25

    hope this helps~ :)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

  2. math

    find the sum and product of the roots of the equation 5x^2+11x-3=0 ?

  3. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the

  4. Mathematics

    𝑥2 + 7𝑥 + 10 = 0 find the sum and product of roots

  1. Math

    Use graph of the function f(x)=x2 to find how the number of roots of the equation depends on the value of b. x^2=bx−1 If b is on the interval ( , ) ∪ ( , ), the equation has two roots. If b equals to , , the equation has one

  2. Math

    Please help me with this question. 4x^2-3x-3 = 0 has roots p, q. Find all quadratic equations with roots p^3 and q^3. I think I do know how to do it but no matter how many times I try, I could never get the right answer. Please

  3. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

  4. Math, factoring

    Two of the roots of x^4 +ax^3 +ax^2+11x+b=0 are 3 and -2. 1. Find the value of a and b 2. Find the other roots. I believe that a = -3 and b = -6. I am unsure of how to find the other roots. Please show how you found the answer.

  1. Biology

    Which of the following statements correctly compares the functions of a plant's roots and stem? The stem contains a high percentage of cells that provide structural support, unlike the roots. The stem is the first part of the

  2. mathematics

    Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)

  3. Algebra 2

    Q: Write a quadratic equation with integral coefficients whose roots are -6+i and -6-i My Answer: x^2+12x+37 (first) sum=-12 product=37 (then) write equation using formula x^2-(sum)x+product Is my work and answer correct?

  4. Pre Cal

    Use Descartes’ Rule of Signs to find the number of possible positive, negative, and nonreal roots for the equation, 4x^3+7x^2+7x+3=0 a. 0 positive, 0 negative, 3 non real roots b. 0 positive, 1 or 3 negative, 0 or 2 non real

You can view more similar questions or ask a new question.