Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
(-3±√61)÷2
Step-by-step explanation:
First we expand the brackets to give us :
x²+5x-14 = -1 +2x
Now we make this into the quadratic format (x²+ax+b=0) by subtract -1 and 2x from both sides :
x²+3x-13 = 0
This quadratic cannot be factorized so we must use the quadratic formula :
x = [tex]\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^{2} -4ac} }{2a}[/tex]
a = 1 , b = 3 , c = -13
Now we simplify as much as possible by first substituting values known :
x = [tex]\frac{-3+\sqrt{3^{2} -4(1)(-13)} }{2(1)}[/tex] or x = [tex]\frac{-3-\sqrt{3^{2} -4(1)(-13)} }{2(1)}[/tex]
Now we evaluate the exponent :
x = [tex]\frac{-3+\sqrt{9 -4(1)(-13)} }{2(1)}[/tex] or x = [tex]\frac{-3-\sqrt{9 -4(1)(-13)} }{2(1)}[/tex]
Now we multiply the numbers :
x = [tex]\frac{-3+\sqrt{9 +52 } }{2(1)}[/tex] or x = [tex]\frac{-3-\sqrt{9 +52 } }{2(1)}[/tex]
Now we add the numbers :
x = [tex]\frac{-3+\sqrt{61} }{2(1)}[/tex] or x = [tex]\frac{-3-\sqrt{61} }{2(1)}[/tex]
Now we multiply the denominator:
x = [tex]\frac{-3+\sqrt{61} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{61} }{2}[/tex]
So our final answer is (-3±√61)÷2
Hope this helped and 5 stars, a heart and brainliest please
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
