X squared -8x+14=2x-7

Mathematics

1 answer:

Stella [2.4K]2 years ago

5 0

Answer:

x = 3 or x = 7

Step-by-step explanation:

X² - 8x + 14 = 2x - 7

x² - 8x + 14 - 2x + 7 = 0

Now we have a quadratic equation ;

x² - 10x + 21 = 0

-3 and - 7 gives a sum of - 10 and a product of 21

x² - 3x - 7x + 21 = 0

x(x - 3) - 7(x - 3) = 0

(x - 3) = 0 or (x - 7) = 0

x = 3 or x = 7

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what variable expression should you subtract from both sides of the equation so that you are left with no variables on the right

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

What variable expression should you subtract from both sides of the equation so that you are left with no variables on the right-hand side?

The variable expression is: subtract 5x from both sides so that you are left with no variables on the right-hand side

$\begin{gathered} 6x\text{ - 10 = 5x + 15} \\ \text{Subtract 5 x from both sides, we have that:} \\ 6x\text{ - 5x - 10 = 5x - 5x + 15} \\ x\text{ - 10 = 15} \\ \text{Now, add 10 to both sides, we have that:} \\ x\text{ - 10 + 10 = 15 + 10} \\ x\text{ = 25} \\ \text{check:} \\ 6x\text{ - 10 = 5x + 15} \\ \sin ce,\text{ x = 25 , we have that:} \\ 6(25)\text{ - 10 = 5(25) + 15 } \\ 150\text{ - 10 = 125+ 15= 140 ( COR}\R ECT) \end{gathered}$

CONCLUSION:

The final answer is: