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Triss [41]
2 years ago
13

What are the solutions to the equations y= 4x^2+5x-6

Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer:

D. x = -2; x = 3/4

Step-by-step explanation:

  • Read the values of a, b, and c from the quadratic equation:
  • a is the number in front of x^2, b is the number in front of x, c is the number at the end. In our case: a = 4,b = 5,c = −6 The formula for the roots is =  \frac{-b +-\sqrt{b^{2}-4ac } }{2a\\}

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Doss [256]
When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here 
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b=b,
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and 
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solve for b
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=> b= ± sqrt(144)= ± 12

So in order that the given equation has double roots,  the possible values of b are ± 12.
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