Evaluate: x²+4y²+9z²-4xy-12yz+6xz. If x = 8, y = -7, z = 6.
Share
Evaluate: x²+4y²+9z²-4xy-12yz+6xz. If x = 8, y = -7, z = 6.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
To evaluate the expression x² + 4y² + 9z² - 4xy - 12yz + 6xz, we substitute the given values of x, y, and z into the expression and perform the calculations.
Given:
x = 8
y = -7
z = 6
Substituting these values into the expression:
(8)² + 4(-7)² + 9(6)² - 4(8)(-7) - 12(-7)(6) + 6(8)(6)
Simplifying each term:
64 + 4(49) + 9(36) + 4(8)(7) + 12(7)(6) + 6(8)(6)
Calculating each term:
64 + 196 + 324 + 224 + 504 + 288
Adding all the terms:
1600
Therefore, when x = 8, y = -7, and z = 6, the value of the expression x² + 4y² + 9z² - 4xy - 12yz + 6xz is 1600.
Answer:
Given. x = 8, y= -7 , z=6
8^2 + 4(-7) ^2 +9(6)^2 -4(8)(-7) -12(-7)(6) +6(8)(6)
64+4(49)+9(36)+224+504+288
64+196+324+224+504+288
1600