Question

5x²-13x+8 by factories method

Answer 1

Answer:

$\huge{\pink{\boxed{\green{\sf{x=1,\frac{8}{5}}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

$\: \: \: \: \: \: \: \: \: { \orange{ given}}\\ {\pink{\boxed{ \green{5{x}^{2} - 13x + 8 = 0}}}} \\ \\ {\blue{to \: find}} \\ { \purple{ \boxed{ \red{x = }}}}$

☆ Middle term spliting:

$\to5 {x}^{2} - 13x + 8 = 0 \\ \to5 {x}^{2} - 5x - 8x + 8 = 0 \\ \to5x(x - 1) - 8(x - 1) = 0 \\ {\boxed{ \green{\to(5x - 8)(x - 1) = 0}}} \\ \\ \to5x - 8 = 0 \\ \to5x = 8 \\ {\boxed{\therefore \: x \: = \frac{8}{5} }} \\ \\ \to \: x - 1 = 0 \\ { \boxed{\therefore \: x = 1}}$

$\huge{\pink{\boxed{\green{\sf{x=1,\frac{8}{5}}}}}}$

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