The answer to the equation is -3
Substitute the x-value and see if you get the corresponding y-value. The corresponding y-value an x-value of 3 in this equation should be
Since the coordinate (3,32) does not represent that, it is a false solution
x=7 or x=-6
Let's solve your equation step-by-step.
0.25x2−0.25x−10.5=0
For this equation: a=0.25, b=-0.25, c=-10.5
0.25x2+−0.25x+−10.5=0
Step 1: Use quadratic formula with a=0.25, b=-0.25, c=-10.5.
x=
−b±√b2−4ac
2a
x=
−(−0.25)±√(−0.25)2−4(0.25)(−10.5)
2(0.25)
x=
0.25±√10.5625
0.5
x=7,−6
Answer:
All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.
There no difference between x-12=y and y=x-12
