Question

4x(square)-25= 0 Quadratic Equations how to solve?

Answer 1

4 x square - 25 =0 4x square =25 x square =25÷4 x=5÷2 x=2.5

Answer 2

Answer:

$x = \frac{-5}{2} \:Or \: x = \frac{5}{2}$

Step-by-step explanation:

$Given \: quadratic\: equation :\\4x^{2}-25=0$

$\implies (2x)^{2} - 5^{2} = 0$

$\implies (2x+5)(2x-5) = 0$

/* By algebraic identity:

a²- b² = (a+b)(a-b) */

$\implies 2x+5 = 0 \: Or \: 2x-5=0$

$\implies 2x = -5 \: Or\: 2x = 5$

$\implies x = \frac{-5}{2} \:Or \: x = \frac{5}{2}$

Therefore,

$x = \frac{-5}{2} \:Or \: x = \frac{5}{2}$

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