Form the quadratic equation whose roots are -3,-7.
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Given: roots of the equation are -3 and -7
That is α = -3 β = -7
To find: form quadratic equation
Step-by-step explanation:
We can write quadratic equation using its root as
x² + ( α+β )x + αβ = 0
⇒ x² + ( -3-7 )x + ( -3×-7 ) = 0
⇒ x² - 10x + 21 = 0
Answer: x² -10x + 21 = 0
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