The hypotenuse of a right triangle is 10m long. the shorter leg is 2m shorter than the longer leg. find the side lengths of the
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5x^2 - 4x = 6
<span>5x^2 - 4x - 6 = 0
</span>
Use the quadratic equation (I attached a photo of it)
Now, you can use this formula to know what to plug into the formula:
ax^2<span> + </span>bx<span> + </span>c<span> = 0
</span>
The easiest way to understand what to plug in is just to put your equation right next to this one:
ax^2 + bx + c<span> = 0
</span><span>5x^2 - 4x - 6 = 0
</span>So,
A= 5
B= -4
C= -6
So, plug it in a solve. Remember you cannot take the square root of a negative number or 0. If it does not come to a number that is easily square rooted you must simplify it to this for example: 5 times the square root of 7. Also, your answer will be x plus or minus a number. This means that the number could be either negative or positive. <span>If you have anymore questions let me know.</span>
<span>5x^2 - 4x - 6 = 0
</span>
Use the quadratic equation (I attached a photo of it)
Now, you can use this formula to know what to plug into the formula:
ax^2<span> + </span>bx<span> + </span>c<span> = 0
</span>
The easiest way to understand what to plug in is just to put your equation right next to this one:
ax^2 + bx + c<span> = 0
</span><span>5x^2 - 4x - 6 = 0
</span>So,
A= 5
B= -4
C= -6
So, plug it in a solve. Remember you cannot take the square root of a negative number or 0. If it does not come to a number that is easily square rooted you must simplify it to this for example: 5 times the square root of 7. Also, your answer will be x plus or minus a number. This means that the number could be either negative or positive. <span>If you have anymore questions let me know.</span>