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<span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2
</span><span> x = 13/5 = 2.600
</span></span>
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x^2-23*x-(-26)=0
Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0
</span><span> Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>
The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.
<span><span>
-130
+
-1
=
-131
<span>
</span>
</span>
<span>
-65
+
-2
=
-67
<span>
</span>
</span>
<span>
-26
+
-5
=
-31
<span>
</span>
</span>
<span>
-13
+
-10
=
-23
That's it</span></span>
Das is difference of 2 perfect squares
remember
a^2-b^2=(a-b)(a+b)
so
25x^4=(5x^2)^2
16y^2=(4y^2)
(5x^2)^2-(4y)^2=(5x^2-4y)(5x+4y)
cannot be factored further
Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Answer:
The first choice is the one you want
Step-by-step explanation:
Use geometric means to solve for a first. The formula is
and 64 = 15a and a = 64/15
That one was quite easy. Finding b is a bit more difficult.
The formula for finding b is
Solving for b:
Filling in we have
and
and
so b = 136/15
