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sergey [27]
2 years ago
8

√10x-4=X+2 I need help on solving and checking this solution please!!

Mathematics
2 answers:
Yakvenalex [24]2 years ago
7 0

Answer:

x = 4 and 2

Step-by-step explanation:

hope it's helpful

Aleonysh [2.5K]2 years ago
6 0

√10x – 4 = x + 2

Squaring both sides we get,

(√10x – 4)² = (x + 2)²

After squaring

10x – 4 = x² + 4x + 4

x² + 4x – 10x + 4 + 4

x² – 6x + 8 = 0

After solving the quadratic equation we get the value of x;

(x₁ , x₂) = (4, 2)

Thus, The value of x is 4 and 2

<h3><u>For </u><u>Verification</u>;</h3>

For x₁

√10x – 4 = x + 2

Plug in 4 for x

√10(4) – 4 = 4 + 2

√36 = 6

x = 4

Here, L.H.S = R.H.S

For x₂

√10x – 4 = x + 2

plug in 2 for x

√10(2) – 4 = 2 + 2

√16 = 4

x = 2

Here, L.H.S = R.H.S

<u>-TheUnknownScientist</u><u> 72</u>

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