1.

Out of following equations, which has 3 as solutionx2+2x-15x ,,x2-x-6=0,, x2+x+6=0,, x2-x+6=0,, x2+x+6=0​

Answer»

Step-by-step EXPLANATION:

  • x² + 2X -15 = 0

discriminant = b²-4ac

a=1 , b=2 , c = -15

d = (2)² - 4(1)(-15)

d = 4 - (-60)

d = 4 + 60 = 64

d = 64

therefore this equation have real and district solutions

  • x²-x-6=0

discriminant = b² - 4ac

a=1, b = -1 , c = -6

d = (-1)² - 4(1)(-6)

d = 1 - (-24)

d = 1 + 24 = 25

d = 25

therefore the equation have real and DISTINCT solutions.

  • x² + x + 6 =0

discriminant = b² - 4ac

a=1, b=1, c=6

d= (1)² - 4(1)(6)

d = 1 - 24

d = -23

therefore the equation doesn't have real equations.

  • x² - x + 6 =0

discriminant = b² - 4ac

a= 1, b= -1 , c = 6

d = (-1)² - 4(1)(6)

d = 1 - 24

d = -23

therefore the equation doesn't have any real equations.

hope it's helpful



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