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how can we solve with this quadratic equation 4x²-225=0 . Thankss :) 

Sagot :

Solving Quadratic Equation:

The quadratic equation can be solved using the quadratic formula

x = -b ± √b² - 4ac where x = -15/2 or -7.5 and x = 15/2 or 7.5.

              2a

Solutions:

Given the quadratic equation 4x² - 225 = 0, identify a, b, c.

a = 4

b = 0

c = -225

Using the quadratic formula: x = -b ± √b² - 4ac a = 4, b = 0, and c = -225,    

                                                               2a              

Solve for x.

x = -(0) ± √(0)² - 4(4)(-225)

                   2(4)

x = 0 ± √0 - 16(-225)

               8

x = ± √-16(-225)

          8

x = ± √3600

         8

x = ± 60/8

x = 60/8 and x  = -60/8

Therefore,

x = 7.5 and x = -7.5

Keywords: quadratic equation, quadratic formula

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