Form a quadratic equation whose roots are: $3, 4$
- $x^2-7x+12=0$
- $x^2+7x+12=0$
- $x^2-7x-12=0$
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None of these
Reveal answer
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A
Correct answer
Explanation
A quadratic equation with roots r1, r2 is x^2 - (r1+r2)x + (r1*r2) = 0. Here r1=3, r2=4. Sum = 7, product = 12. Equation: x^2 - 7x + 12 = 0.
AI explanation
Using the formula for forming quadratic equations from known roots, if the roots are 3 and 4, the equation is x squared minus (sum of roots)x plus (product of roots) equals 0. The sum of the roots is 3 plus 4, which is 7, and the product is 3 times 4, which is 12. Substituting these values gives the equation x squared minus 7x plus 12 equals 0.