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Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the variable)

Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the variable)
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2 votes
Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the variable)

User Xraynaud
by
7.5k points

1 Answer

7 votes
a(x - x₁)(x - x₂) = 0
a=5, x₁=-3, x₂ = 3

so:
5(x-(-3))(x-3)=0
5(x+3)(x-3)=0
5(x²-9) = 0
5x² - 45 = 0 ← answer
User JimR
by
8.1k points
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