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cluponka [151]
1 year ago
5

Solve the equation using square roots. 7x2 + 6 = 13

Mathematics
2 answers:
m_a_m_a [10]1 year ago
8 0

Answer:

The solution of the equation 7x^2+6=13 is:

x=1 or -1

Step-by-step explanation:

7x^2+6=13

subtracting by 6 on both sides

7x^2+6-6=13-6

7x^2=7

dividing by 7 on both sides, we get

x^2=1

taking square roots on both sides, we get

x=±√1

⇒ x=1 or -1

Elis [28]1 year ago
4 0
Move all terms not containing <span>xx</span> to the right side of the equation.
Since <span>66</span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>66</span> from both sides.<span><span>7<span>x2</span>=−6+13</span><span>7<span>x2</span>=-6+13</span></span>Add <span><span>−6</span><span>-6</span></span> and <span>1313</span> to get <span>77</span>.<span><span>7<span>x2</span>=7</span><span>7<span>x2</span>=7</span></span>Divide each term by <span>77</span> and simplify.
Divide each term in <span><span>7<span>x2</span>=7</span><span>7<span>x2</span>=7</span></span> by <span>77</span>.<span><span><span><span>7<span>x2</span></span>7</span>=<span>77</span></span><span><span><span>7<span>x2</span></span>7</span>=<span>77</span></span></span>Reduce the expression by cancelling the common factors.
<span><span><span>x2</span>=<span>77</span></span><span><span>x2</span>=<span>77</span></span></span>Divide <span>77</span> by <span>77</span> to get <span>11</span>.<span><span><span>x2</span>=1</span><span><span>x2</span>=1</span></span>Take the <span><span>square</span><span>square</span></span> root of both sides of the <span><span>equation</span><span>equation</span></span> to eliminate the exponent on the left side.<span><span>x=±<span>√1</span></span><span>x=±1</span></span>The complete solution is the result of both the positive and negative portions of the solution.
Any root of <span>11</span> is <span>11</span>.<span><span>x=±1</span><span>x=±1</span></span>The complete solution is the result of both the positive and negative portions of the solution.
<span>x=1,−<span>1</span></span>
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