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Allisa [31]
2 years ago
14

If x = -1/2 is a solution of the quadratic equation 3x2+2kx-3=0 find the value of k

Mathematics
2 answers:
Masteriza [31]2 years ago
7 0
6+2k(-1/2)-3=0. 
6+1k-3=0
3+1k=0
-3
k=-3
Finger [1]2 years ago
4 0
Just substitute for x :)

3(-1/2)2+2k(-1/2)-3=0
-3 + (-1k) -3 = 0 
-6 + (-1k) = 0 
+6            +6
-1k = 6 
/-1     /-1                    <u>k = -6 </u> that's what i believe the answer is 
 
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Can I get help finding the value of m and n
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Step-by-step explanation:

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Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el
sergiy2304 [10]

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

= 30/100 \ of \ x\\= 0.3x

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

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x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

= 106.48-79.86\\= 26.62

3 0
2 years ago
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