plsss answer this question plsssssssss it's urgent please
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Here is ur answer mate ☺️
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EXPLANATION.
(1) = 4x² - 4x + 1.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ 4x² - 4x + 1 = 0.
⇒ 4x² - 2x - 2x + 1 = 0.
⇒ 2x(2x - 1) - 1(2x - 1) = 0.
⇒ (2x - 1)(2x - 1) = 0.
⇒ (2x - 1)² = 0.
⇒ 2x - 1 = 0.
⇒ 2x = 1.
⇒ x = 1/2.
(2) = x² + 7x + 10.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ x² + 7x + 10 = 0.
⇒ x² + 5x + 2x + 10 = 0.
⇒ x(x + 5) + 2(x + 5) = 0.
⇒ (x + 2)(x + 5) = 0.
⇒ x = - 2 and x = - 5.
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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