Which values of "P" and "Q" result in an equation with no solution.

1 answer:

4 0

$-68x+P=Qx+34\qquad\text{subtract P from both sides}\\\\-68x=Qx+34-P\qquad\text{subtract QX from both sides}\\\\-68x-Qx=34-P\\\\-x(68+Q)=34-P\qquad\text{divide both sides by (68 + Q)}\\\\-x=\dfrac{34-P}{68+Q}\qquad\text{multiply both sides by (-1)}\\\\x=\dfrac{P-34}{68+Q}\\\\\text{The equation has no solution if the numerator is different than 0}\\\text{and the denominator is equal 0.}\\\\P-34\neq0\ \wedge\ 68+Q=0\\\\P\neq34\ \wedge\ Q=-68$

$Answer:\\A:\ P=68\ and\ Q=-68\\C:\ P=-68\ and\ Q=-68\\D:\ P=-34\ and\ Q=-68\\-------------------\\\\For\ P=34\ and\ Q=-68\ we\ have\ \dfrac{34-34}{68-68}=\dfrac{0}{0}\\\\Then\ the\ equation\ has\ infinitely\ many\ solutions.$

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How many real roots does the function

icang [17]

Answer:

Option C is correct i.e. 2.

Step-by-step explanation:

Given the function is f(x) = x² +8x -2.

We can compare it with general quadratic expression i.e. ax² +bx +c.

Then a = 1, b = 8, c = -2.

We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-

D = b² -4ac

D = 8² -4*1*-2

D = 64 +8

D = 72.

When D is a positive value, then we have two real roots of the equation.

Hence, option C is correct i.e. 2.

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<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

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<h3>Finding the Slope of the line:</h3>

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