3. The product of the roots of a quadratic equation is 2. What could be the equation if one of its roots is 1?
a x2 - 7x + 2 = 0
b. x2 + 7x + 2 = 0
c. x2 + 3x + 2 = 0
d x² – 3x +2=0
a x2 - 7x + 2 = 0
b. x2 + 7x + 2 = 0
c. x2 + 3x + 2 = 0
d x² – 3x +2=0
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Answer:
c. x² + 3x + 2 = 0
Step-by-step explanation and checking:
IF THE ROOTS ARE 2, 1, THEN:
(x+2)(x+1) = x²+1x+2x+2, and then simplify,
the answer is x2 + 3x + 2
Answer:
For every quadratic equation, there can be one or more than one solution. These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a.