Question

$5x {}^{2} - 17.5x - 10 = 0$
solve by factorization please quickly? ​

Answer 1

Step-by-step explanation:

$5 {x}^{2} - 17.5x - 10 = 0 \\ 5( {x}^{2} - 3.5x - 2) = 0 \\ {x}^{2} - \frac{35}{10}x - 2 = 0 \\ {x}^{2} - \frac{7}{2} x - 2 = 0 \\ 2 {x}^{2} - 7x - 4 = 0$

$2 {x}^{2} - 8x + x - 4 = 0 \\ 2x(x - 4) + 1(x - 4) = 0 \\ (x - 4)(2x + 1) = 0 \\ roots \: are \: x = 4 \: and \: x = \frac{ - 1}{2}$

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Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

To solve:

• $5x^2 - 17.5x - 10 = 0$

Solution:

$:\longrightarrow 5x^2 - 17.5x - 10 = 0 \\\\\text{Divide by 5} \\\\:\implies x^2 - 3.5x - 2 = 0 \\\\\text{Multiply by 2} \\\\:\implies 2x^2 - 7x - 4 = 0 \\\\:\implies 2x^2 + x - 8x - 4 = 0 \\\\:\implies x(2x + 1) - 4(2x + 1) = 0 \\\\:\implies (2x + 1)*(x - 4) = 0 \\\\\bf{:\implies x = 4 \:\:\:\:OR\:\:\:\: x = ^{-1}/_2}$

Hope it helps!!!