Question

factorise and solve
4x^2=25

Answer 1

Answer :

${4x}^{2} = 25 \\ {x}^{2} = \frac{25}{4} \\ x = \sqrt{ \frac{25}{4} } \\ x = \frac{5}{2}$

$\huge{\boxed {\mathfrak \pink {\fcolorbox {red}{lime}{Good Luck}}}}$

Answer 2

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

$4 {x}^{2} = 25 \\ \\ \implies \: x {}^{2} = \frac{25}{4} \\ \\ \implies \:x = \sqrt{ \frac{25}{4} } \\ \\ \implies \:x = \frac{5}{2}$

$\underline \mathbb{ANSWER:-}$

$\implies \: \boxed{x = \frac{5}{2} }$

$\underline \mathbb{VERIFICATION:-}$

$4 {x}^{2} = 25 \\ \\ \implies \: 4 \times ( {\frac{5}{2} )}^{2} = 25\\ \\ \implies \: 4 \times \: \frac{25}{4} = 25\\ \\ \implies \: 25 = 25(proved)$