Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solving quadratic equations: x² + 6x + 5 = 45

Sagot :

First bring all terms to one side left equal to zero
X^2 + 6x - 40
Now we need to factor this, meaning find 2 binomials that when multiplied result in the original.
Start with (x )(x ) because x*x= x^2
The last part is negative, so we can turn it into (x+ )(x- )
Now we need to find two numbers that add to 6 and multiply to -40
The numbers that work are 10 and -4
Now we put those in to get (x+10)(x-4)=0
Now it is factored.
Because they equal 0, that means that one or both of the expressions inside the parentheses must equal zero
So we can split it up into x+10=0 and x-4=0
Solving for those we get x=-10 or x=4
Final answer:
X=-10 or x=4
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.