Solutionfor P(3, -2, -1), Q(1, 5, 4), R(2, 0, -6), S(-4, 1, 5) find proj PS. QR
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P2-1/4=p/3+1/2 - Maths - Simple Equations. NCERT Solutions; Board Paper Solutions; Ask & Answer; School Talk; Login; GET APP; Login Create Account. Class-7 » Maths. Simple Equations. P/2-1/4=p/3+1/2. Share with your friends. Share 0. p 2-1 4 = p 3 + 1 2 ⇒ p 2-p 3 = 1 2 + 1 4 ⇒ 3 p-2 p 6 = 2 + 1 4 ⇒ p 6 = 3 4
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Vay Tiền Nhanh Chỉ Cần Cmnd Nợ Xấu. Algebra Examples Popular Problems Algebra Solve for p 3p-3-5p>-3p-6 Step 1Simplify .Tap for more steps...Step each for more steps...Step the distributive by .Step from .Step 2Move all terms containing to the left side of the for more steps...Step to both sides of the and .Step 3Move all terms not containing to the right side of the for more steps...Step to both sides of the and .Step 4The result can be shown in multiple FormInterval Notation
Dado um polinômio px, temos que seu valor numérico é tal que x = a é um valor que se obtém substituindo x por a, onde a pertence ao conjunto dos números reais. Dessa forma, concluímos que o valor numérico de pa corresponde a px onde x = a. Por exemplo, dado o polinômio px = 4x² – 9x temos que seu valor numérico para x = 2 é calculado da seguinte maneira px = 4x² – 9x p2 = 4 * 2² – 9 * 2 p2 = 4 * 4 – 18 p2 = 16 – 18 p2 = –2 Se, ao calcularmos o valor numérico de um polinômio determinarmos pa = 0, temos que esse número dado por a corresponde à raiz do polinômio px. Observe o polinômio px = x² – 6x + 8 quando aplicamos p2 = 0. p2 = 2² – 6 * 2 + 8 p2 = 4 – 12 + 8 p2 = 12 – 12 p2 = 0 Dessa forma, percebemos que o número 2 é raiz do polinômio px = x² – 6x + 8, pois temos que p2 = 0. Exemplo 1 Dado o polinômio px = 4x³ – 9x² + 8x – 10, determine o valor numérico de p3. p3 = 4 * 3³ – 9 * 3² + 8 * 3 – 10 p3 = 4 * 27 – 9 * 9 + 24 – 10 p3 = 108 – 81 + 24 – 10 p3 = 41 O valor de px = 4x³ – 9x² + 8x – 10 para p3 é 41. Exemplo 2 Determine o valor numérico de px = 5x4 – 2x³ + 3x² + 10x – 6, para x = 2. p2 = 5 * 24 – 2 * 23 + 3 * 22 + 10 * 2 – 6 p2 = 5 * 16 – 2 * 8 + 3 * 4 + 20 – 6 p2 = 80 – 16 + 12 + 20 – 6 p2 = 90 De acordo com o polinômio fornecido temos que p2 = pare agora... Tem mais depois da publicidade ;
Move all terms containing to the left side of the from both sides of the write as a fraction with a common denominator, multiply by .Step write as a fraction with a common denominator, multiply by .Step each expression with a common denominator of , by multiplying each by an appropriate factor of .Step the numerators over the common
In fact the result holds a bit more generally, namely Lemma $\rm\ \ 24\ \ M^2 - N^2 \;$ if $\rm \; M,N \perp 6, \;$ coprime to $6.\;$ Proof $\rm\ \ \ \ \ N\perp 2 \;\Rightarrow\,\bmod 8\!\,\ N = \pm 1, \pm 3 \,\Rightarrow\, N^2\equiv 1$ $\rm\qquad\qquad N\perp 3 \;\Rightarrow\,\bmod 3\!\,\ N = \pm 1,\ $ hence $\rm\ N^2\equiv 1$ Thus $\rm\ \ 3, 8\ \ N^2 - 1 \;\Rightarrow\; 24\ \ N^2 - 1 \ $ by $\ {\rm lcm}3,8 = 24,$ by $\,\gcd3,8=1,\,$ or by CCRT. Remark $ $ It's easy to show that $\,24\,$ is the largest natural $\rm\,n\,$ such that $\rm\,n\mid a^2-1\,$ for all $\rm\,a\perp n.$ The Lemma is a special case $\rm\ n = 24\ $ of this much more general result Theorem $\ $ For naturals $\rm\ a,e,n $ with $\rm\ e,n>1 $ $\rm\quad n\ \ a^e-1$ for all $\rm a\perp n \ \iff\ \phi'p^k\\e\ $ for all $\rm\ p^k\\n,\ \ p\$ prime with $\rm \;\;\; \phi'p^k = \phip^k\ $ for odd primes $\rm p\,\ $ where $\phi$ is Euler's totient function and $\rm\ \quad \phi'2^k = 2^{k-2}\ $ if $\rm k>2\,\ $ else $\rm\,2^{k-1}$ The latter exception is due to $\rm \mathbb Z/2^k$ having multiplicative group $\,\rm C2 \times C2^{k-2}\,$ for $\,\rm k>2$. Notice that the least such exponent $\rm e$ is given by $\rm \;\lambdan\; = \;{\rm lcm}\;\{\phi'\;{p_i}^{k_i}\}\;$ where $\rm \; n = \prod {p_i}^{k_i}\;$. $\rm\lambdan$ is called the universal exponent of the group $\rm \mathbb Z/n^*,\;$ the Carmichael function. So the case at hand is simply $\rm\ \lambda24 = lcm\phi'2^3,\phi'3 = lcm2,2 = 2\.$ See here for proofs and further discussion.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
p 2 p 3 1 p 6