2. Find the zeroes of the quadratic polynomialy-3y+2.
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Answer:
The graph of −3y+x−12=0 intersect the x-axis at (12,0).
Hence the zero of −3y+x−12=0 is (12,0) as it intersects at x-axis at (12,0).
Step-by-step explanation:
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EXPLANATION.
Quadratic polynomial.
⇒ y² - 3y + 2.
As we know that,
Factorizes this equation into middle term splits, we get.
⇒ y² - 2y - y + 2 = 0.
⇒ y(y - 2) - 1(y - 2) = 0.
⇒ (y - 1)(y - 2) = 0.
⇒ y = 1 and y = 2.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.
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