factorise by using suitable identity z^2 -16z +48
Answers
EXPLANATION.
Factorizes : z² - 16z + 48.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ z² - 12z - 4z + 48 = 0.
⇒ z(z - 12) - 4(z - 12) = 0.
⇒ (z - 4)(z - 12) = 0.
⇒ z = 4 and z = 12.
MORE INFORMATION.
Nature of roots of the quadratic expression.
(1) = Roots are 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.
Step-by-step explanation:
EXPLANATION.
Factorizes : z² - 16z + 48.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ z² - 12z - 4z + 48 = 0.
⇒ z(z - 12) - 4(z - 12) = 0.
⇒ (z - 4)(z - 12) = 0.
⇒ z = 4 and z = 12.
MORE INFORMATION.
Nature of roots of the quadratic expression.
(1) = Roots are 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.