Solve (x-2)43(x-2)2 -10=0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{86 - 215}{43}, x_{2} = \frac{86 + 215}{43}

Alternative Form

x_{1} \approx 1.659003, x_{2} \approx 2.340997

Evaluate

(x - 2) \times 43 (x - 2) \times 2 - 10 = 0

Multiply the terms

More Steps

86 (x - 2)^{2} - 10 = 0

Expand the expression

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86 x^{2} - 344 x + 334 = 0

Substitute a= 86,b= - 344 and c= 334 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{344 \pm ( - 344 ) ^{2} - 4 \times 86 \times 334}{2 \times 86}

Simplify the expression

x = \frac{344 \pm ( - 344 ) ^{2} - 4 \times 86 \times 334}{172}

Simplify the expression

More Steps

x = \frac{344 \pm 34 4 ^{2} - 114896}{172}

Simplify the radical expression

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x = \frac{344 \pm 4 215}{172}

Separate the equation into 2 possible cases

x = \frac{344 + 4 215}{172} x = \frac{344 - 4 215}{172}

Simplify the expression

More Steps

x = \frac{86 + 215}{43} x = \frac{344 - 4 215}{172}

Simplify the expression

More Steps

x = \frac{86 + 215}{43} x = \frac{86 - 215}{43}

Solution

x_{1} = \frac{86 - 215}{43}, x_{2} = \frac{86 + 215}{43}

Alternative Form

x_{1} \approx 1.659003, x_{2} \approx 2.340997

Show Solution