Answer:
x=-3 or x=3/2
Step-by-step explanation:
We are given the following equation:
2x^2+5x-9=2x
We are asked to find the roots. That means just solve it for x.
2x^2+5x-9=2x
Subtract 2x on both sides:
2x^2+3x-9=0
Let's see if we can put this in factored form.
Compare
2x^2+3x-9=0
and
ax^2+bx+c=0.
a=2, b=3 , c=-9
We have to find two numbers that multiply to be ac and add up to be b.
ac=-18
b=3
What are two numbers that multiply to be -18 and add to be 3?
Say -3 and 6.
So we are going to factor 2x^2-3x+6x-9=0
The first two terms have a common factor of x.
The last two terms have a common factor of 3.
2x^2-3x+6x-9=0
x(2x-3)+3(2x-3)=0
Now we can factor the (x-3) out of those 2 terms there since they share that common factor:
(x+3)(2x-3)=0
(x+3)(2x-3)=0 implies x+3=0 or 2x-3=0.
So we must solve x+3=0 and 2x-3=0
x+3=0
Subtract 3 on both sides:
x=-3
2x-3=0
Add 3 on both sides:
2x=3
Divide both sides by 2:
x=3/2
The solutions are x=3 or x=-3/2
<span>5 - {-(-2)}
</span>5 - {+2} (negative + negative = positive)
<span>5 - 2 (negative + positive = negative)
</span>3
<span><span>1. m2</span><span>(36<span>m4</span>+12<span>m2</span>+1)</span></span>2. Rewrite <span><span>m4</span><span>m4</span></span> as <span><span><span>(<span>m2</span>)</span>2</span><span><span>(<span>m2</span>)</span>2</span></span>.<span><span>3. m2</span><span>(36<span><span>(<span>m2</span>)</span>2</span>+12<span>m2</span>+1)</span></span>4. Let <span><span>u=<span>m2</span></span><span>u=<span>m2</span></span></span>. Substitute <span>uu</span> for all occurrences of <span><span>m2</span><span>m2</span></span>. =m2(36u2+12u+1)
5. Rewrite <span><span>36<span>u2</span></span><span>36<span>u2</span></span></span> as <span><span><span>(6u)</span>2</span><span><span>(6u)</span>2</span></span>.<span><span>5. m2</span><span>(<span><span>(6u)</span>2</span>+12u+1)</span></span>6. Rewrite <span>11</span> as <span>12</span><span><span>7. m2</span><span>(<span><span>(6u)</span>2</span>+12u+<span>12</span>)</span></span>8. Check the middle term by multiplying <span>2ab</span> and compare this result with the middle term in the original expression.<span><span>9. 2ab=2⋅<span>(6u)</span>⋅1</span><span>2ab=2⋅<span>(6u)</span>⋅1</span></span>10. Simplify. 2ab=12u
11. Factor using the perfect square trinomial rule <span><span><span>a2</span>+2ab+<span>b2</span>=<span><span>(a+b)</span>2</span></span><span><span>a2</span>+2ab+<span>b2</span>=<span><span>(a+b)</span>2</span></span></span>, where <span><span>a=6u</span><span>a=6u</span></span> and <span><span>b=1</span><span>b=1</span></span>.<span><span><span>12. m2</span><span><span>(6u+1)</span>2</span></span><span><span>m2</span><span><span>(6u+1)</span>2</span></span></span>13. Replace all occurrences of <span>uu</span> with <span><span>m2</span><span>m2</span></span>. m^2(6m^2+1)^2
Answer: -2
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
slope = -3 -1 / 0 + 2
slope = -4 / 2
simplify = -2
Well dont you have to bring down the zeros than you will have the answer