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Use the discriminant to find the number of x-intercepts of the graph of the function.
y = x2 + 3x

Sagot :

Semsee45idn

Answer:

2 x-intercepts

Step-by-step explanation:

Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]

Given equation: [tex]\sf y=x^2+3x[/tex]

Therefore:

  • a = 1
  • b = 3
  • c = 0

Discriminant: [tex]\sf b^2-4ac[/tex]

Substituting values into discriminant:

[tex]\sf \implies 3^2-4(1)(0)=9[/tex]

As discriminant > 0 then 2 real roots (2 x-intercepts)

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