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Vadim26 [7]
2 years ago
11

What are the solutions of the quadratic equation 40-x^2=0

Mathematics
2 answers:
Nataliya [291]2 years ago
3 0
Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a       </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>,   <span><span>b=0</span><span>b=0</span></span>,   and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x                 </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210    </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
</span></span>
MAVERICK [17]2 years ago
3 0

Answer:

The answer is approximately ±6.32

Step-by-step explanation:

Given the quadratic equation 40-x² = 0, to get the solution to the quadratic equation, we must find all the values of x that satisfies the equation.

From the equation 40-x²= 0

Step1: Take -x² to the other side of the equation to have;

40= 0+x²

40= x²

Step 2: Take the square root of both sides to have;

√40 = √x²

x = ±√40

x = ±6.32

The values of x are approximately 6.32 and -6.32

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