Solve the quadratic equation x2 - x = 30 by completing the square

A

Step-by-step explanation:

Given

x² - x = 30

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- )x + = 30 +

(x - )² =

Take the square root of both sides

x - = ± = ±

Add to both sides

x = ± , thus

x = - = - 5

x = + = 6

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

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