Question

The sum of zerors of the people p(x) = 5 x square -7x + 2

Answer 1

Step-by-step explanation:

Given -

• p(x) = 5x² - 7x + 2

To Find -

• Sum of zeroes

Method 1 :-

As we know that :-

• α + β = -b/a

→ α + β = -(-7)/5

→ α + β = 7/5

Method 2 :-

→ 5x² - 7x + 2

→ 5x² - 5x - 2x + 2

→ 5x(x - 1) - 2(x - 1)

→ (5x - 2)(x - 1)

Zeroes are :-

→ 5x - 2 = 0 and x - 1 = 0

→ x = 2/5 and x = 1

Then,

→ α + β = 2/5 + 1

→ 2+5/5

→ 7/5

Hence,

The sum of zeroes is 7/5.

Answer 2

$\large{\underline{\bf{\purple{Given:-}}}}$

• ✦ p(x) = 5x² - 7x + 2

$\large{\underline{\bf{\purple{To\:Find:-}}}}$

• ✦ we need to find the sum of zeroes.

$\huge{\underline{\bf{\red{Solution:-}}}}$

p(x) = 5x² - 7x + 2

$\leadsto \rm\:\: {5x}^{2} - 7x + 2 \\ \\\leadsto \rm\:\:5 {x}^{2} - 5x - 2x + 2 \\ \\ \leadsto \rm\:\:5x(x - 1) - 2(x - 1) \\ \\\leadsto \rm\:\:(5x - 2)(x - 1) \\ \\\leadsto \bf \pink{x = \frac{2}{5} \:\:or \:x = 1 }$

Let α = 2/5

and β = 1

✦ Sum of zeroes (α + β) :-

$\leadsto \rm\:\: \frac{2}{5} + 1 \\ \\\leadsto \rm\:\: \frac{2 + 5}{5} \\ \\\leadsto \rm\:\: \frac{7}{5}$

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