Answer :

nuhulawal20

The solutions to the equation x² - x -3/4 = 0 are x = -1/2 and x = 3/2.

What is the solution(s) to the given expression?

Given the expression;

  • x² - x -3/4
  • Value of x = ?

To determine the solution to the expression, we equate everything to zero.

x² - x -3/4 = 0

Compare with the standard form of quadratic equation ax² + bx + c = 0

  • a = 1
  • b = -1
  • c = -3/4

We plug these values into the quadratic formula and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = (-(-1) ± √((-1)² - (4 × 1 -3/4))) / (2×1)

x = ( 1 ± √( 1 - (-3))) / (2)

x = ( 1 ± √( 1 +3 )) / (2)

x = ( 1 ± √4)) / (2)

x = ( 1 ± 2) / (2)

x = ( 1 - 2)/2 , ( 1 + 2)/2

x = -1/2, 3/2

Therefore, the solutions to the equation x² - x -3/4 = 0 are x = -1/2 and x = 3/2.

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