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3 years ago

(1-5z)(2-5z)=(1−5z)(2−5z)=

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

Answer: 0

Simplify both sides of the equation

$25z^2-15z+2=25z^2-15z+2$

Subtract 25z² from both sides

$25z^2-15z+2-25z^2=25z^2-15z+2-25z^2$

$-15z+2=-15z+2$

Add 15z to both sides

$-15z+2+15z=-15z+2+15z$

$2=2$

Subtract 2 from both sides

$2-2=2-2$

Final Answer: $0=0$

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NemiM [27]

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b) Roots are approximately $x_{1} \approx -1.3$ and $x_{2} \approx 0.8$ .

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Step-by-step explanation:

a) The figure presents the graphic of a parabola, that is, a second order polynomial, with an absolute minimum (vertex). The turning point of the graphic, that is, the point in which behavior of the curve changes, is the vertex. Hence, the location of the turning point is approximately $V(x,y) = (-0.25, -2,1)$

b) According to the Quadratic Formula, second-order polynomials can have either two real roots or two conjugated complex roots. In this case, we have two real roots. A root corresponds with the point of the curve that passes through x-axis. In this case, roots are approximately $x_{1} \approx -1.3$ and $x_{2} \approx 0.8$ .

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3 years ago