Solve x 2 8x 18 0 by completing the square
Asked by admin @ in CBSE BOARD X viewed by 325 People
Using completing the square method, show that the equation x^2-8x+18 =0 has no solution
Asked by admin @ in CBSE BOARD X viewed by 325 People
Using completing the square method, show that the equation x^2-8x+18 =0 has no solution
Answered by admin @
x² - 8x + 18 = 0
or, x² - 2 × 4 × x + 18 = 0
or, x² - 2 × 4 × x + (16 + 2) = 0
or, x² - 2 × 4 × x + 4² + 2 = 0
or, x² - 2 × 4 × x + 4² = - 2
here, you should use algebraic Identity , a² - 2ab + b² = 0
so, x² - 2 × 4 × x + 4² = (x - 4)²
e.g., (x - 4)² = -2
but we know, square of any real number can't be negative .
so, (x - 4)² ≠ -2
hence, x² - 8x + 18 = 0 has no real solution.
Asked by admin @ in History viewed by 349 persons
Asked by admin @ in Math viewed by 359 persons
Asked by admin @ in Math viewed by 323 persons
Asked by maham237 @ in Mathematics viewed by 346 persons
Asked by maham237 @ in Mathematics viewed by 345 persons
Asked by admin @ in Math viewed by 339 persons
Asked by admin @ in Math viewed by 367 persons
Asked by maham237 @ in Mathematics viewed by 354 persons
Asked by maham237 @ in Mathematics viewed by 393 persons
Asked by admin @ in Math viewed by 327 persons
Asked by admin @ in Chemistry viewed by 305 persons
Asked by maham237 @ in Mathematics viewed by 365 persons
Asked by maham237 @ in Mathematics viewed by 368 persons
Asked by admin @ in Mathematics viewed by 329 persons
Asked by maham237 @ in Mathematics viewed by 291 persons
Asked by admin @ in CBSE BOARD X viewed by 1800 persons
Asked by admin @ in CBSE BOARD X viewed by 685 persons
Asked by admin @ in CBSE BOARD X viewed by 673 persons
Asked by admin @ in CBSE BOARD X viewed by 643 persons
Asked by admin @ in CBSE BOARD X viewed by 574 persons
Asked by admin @ in CBSE BOARD X viewed by 538 persons
Asked by admin @ in CBSE BOARD X viewed by 538 persons
Asked by admin @ in CBSE BOARD X viewed by 535 persons
Asked by admin @ in CBSE BOARD X viewed by 534 persons
Asked by admin @ in CBSE BOARD X viewed by 533 persons
Asked by admin @ in CBSE BOARD X viewed by 531 persons
Asked by admin @ in CBSE BOARD X viewed by 530 persons
Asked by admin @ in CBSE BOARD X viewed by 524 persons