It’s 15 because of Pythagorean theorem. 25 squared minus 10 squared is 15 squared.
Answer:


Step-by-step explanation:
We have the system of equations:

Let's solve by substituting. We know that
, so we can substitute
in as
in the equation
.

Simplify this down so that we have
on one side of the equation:

Now that we know the value of
, we can substitute it in to the equation
to find
.

Hope this helped!
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The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.