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icang [17]
2 years ago
8

Determine which equation has exactly one real solution. PLS HELPP

Mathematics
1 answer:
sergey [27]2 years ago
4 0

Answer:

b)  4x^2-12x+9=0

Step-by-step explanation:

We can use the discriminant b^2-4ac to determine how many real solutions a quadratic equation in the form ax^2+bx+c=0 has.

  • discriminant > 0 ⇒ 2 real solutions
  • discriminant = 0 ⇒ 1 real solution
  • discriminant < 0 ⇒ no real solutions

5x^2+9x-4=0

b^2-4ac=9^2-4(5)(-4)=161 > 0\implies \textsf{2 solutions}

4x^2-12x+9=0

b^2-4ac=(-12)^2-4(4)(9)=0 \implies \textsf{1 solution}

-9x^2+6x+1=0

b^2-4ac=6^2-4(-9)(1)=72 > 0 \implies \textsf{2 solutions}

-2x^2-7=0

b^2-4ac=0^2-4(-2)(-7)=-56 < 0 \implies \textsf{no solutions}

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