22605221
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

For what values of x is the trinomial 2x^2-x+55 equal to the square of binomial x+5

Sagot :

devishri1977

Answer:

x = 6 , 5. For these values of x they are equal.

Step-by-step explanation:

2x²  - x + 55 =(x +5)²

2x² - x + 55 = x² + 2*x*5 + 5²

2x² - x + 55 = x² + 10x + 25

2x² - x + 55 - x²  - 10x - 25 = 0

2x² - x² - x - 10x + 55 - 25 = 0

x² - 11x + 30 = 0

x² -6x - 5x  + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x - 6 = 0 ;  x - 5 = 0

x = 6      ;      x = 5

kamilmatematik100504

Answer:

Step-by-step explanation:

[tex]\displaystyle 2x^2-x+55=(x+5)^2 \\\\ 2x^2-x+55=x^2+10x+25 \\\\ 2x^2-x^2-x-10x+55-25=0 \\\\x^2-11x+30=0 \\\\ \left \{ {{x_1+x_2=11} \atop {x_1x_2=30 }} \right. => x_1=6 \ \ ; \ \ x_2=5[/tex]

[tex]\huge \boldsymbol{ \mathfrak {Answe}r :} x_1=6 \ \ ; \ \ x_2=5 }[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.