BananaOnYourFace
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Hellp with the quadratic equations (A and B please) thank you

Hellp With The Quadratic Equations A And B Please Thank You class=

Sagot :

olemakpadu
a) x^2 - 8x + 15 = 0. 
Here we multiply  15 and the coefficient of x^2 =  15*1 = 15.

So now we think of two numbers whose product is 15 and its sum gives us the middle coefficient term -8.

15 = -3 * -5.

And -3 + -5 = -8.  We replace the -8 with this expression.

x^2 - 8x + 15 = 0.

x^2 -3x - 5x + 15 = 0.      Factorize now.

x (x - 3)  - 5(x - 3) = 0.

(x -3)(x - 5) = 0.

(x-3) = 0 or (x -5) = 0.

x = 0 +3,    x = 0 +5.    x = 3, or 5.


b) x^2 + 11x + 28 = 0.

Following similar steps like above:

28 = 14(2),  28 = 7(4).
But it is only  7 + 4 = 11. Which gives the middle coefficient. So we adopt 7(4).

x^2 + 11x + 28 = 0
x^2 + 4x + 7x + 28 = 0.    Factorize.
x(x + 4) + 7(x + 4) = 0.
(x + 4)(x +7) = 0.
x+4 = 0 or x+7 = 0.
x = 0-4  or x = 0 -7.    x = -4 or -7.
Cheers.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.