The equation of F (x) =0 is given. It is required: 1) by a graphic method to separate a root of this equation.2) to Find this root to within 0.1 method of division of a piece in half. 2*5^x+7x=0

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We find values of an argument at which function changes the sign. At x = 0 at = 2*5^0+7*0 = 2*1+0 = 2. x =-1 y = 2*(1/5)+7*(-1) = 0.4-7 =-6.6. Between these points it is found average value: hsr =-0.5 at = -2.60557. Now between x = 0 and x = 0.5 average: hsr =-0.25 at = -0.41252. So we continue: x = of -0.125 -0.1875-0.21875 - 0.20313 at = 0.760531 0.166517-0.12478 0.020412. To within 0.1 x =-0.2. Value to within 5 signs: x =-0.20531.
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Answer add