Question

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 202020 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 444 meters each second and get out of the volcano safely. Graph the relationship between Zane's elevation relative to the edge of the volcano (in meters) and time (in seconds).

Answer 1

Answer❣

Solution

=>8x²-14x-9=0

The above equation is in the form of a quadratic equation so,we simply factorise it by middle term splitting method.

Step by step explanation:

How to factorise..??

8x²-14x-9=0

The coefficient of x² is 8

-14x is a middle term and its coefficient is 14.

and the constant" is +3

Step-1 : Multiply the coefficient of x² by the constant -9×8= -72

Step-2 : Find two factors of 72 whose sum is equal to the coefficient of the middle term, which is -14.

=>8x²-14x-9=0

-9×8= -72

-72 = -18× 4

and -18+4= -14

=>8x²-14x-9=0

=>8x²-18x+4x-9=0

=>2x(4x-9)+1(4x-9)=0

=>(2x+1)(4x-9)=0

=>2x+1=0

=>2x= -1

=>x= -1/2

(4x-9)=0

=>4x=9

=>x=9/4

∴ x = -1/2 & x = 9/4

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